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1055355563025 = 34523726172
BaseRepresentation
bin11110101101110000001…
…01111110110000010001
310201220001112200101110000
433112320011332300101
5114242332011004100
62124453524200213
7136150460163111
oct17267005766021
93656045611400
101055355563025
1137763477a795
12150650539069
137869a74a46a
1439118153041
151c6bb399900
hexf5b817ec11

1055355563025 has 135 divisors (see below), whose sum is σ = 2012407557699. Its totient is φ = 546756376320.

The previous prime is 1055355563023. The next prime is 1055355563077. The reversal of 1055355563025 is 5203655535501.

The square root of 1055355563025 is 1027305.

It is a perfect power (a square), and thus also a powerful number.

1055355563025 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 5 + 5 + 5 + 630 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 826657368849 + 228698194176 = 909207^2 + 478224^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1055355563025 - 21 = 1055355563023 is a prime.

It is a super-2 number, since 2×10553555630252 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1055355563023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1710462517 + ... + 1710463133.

Almost surely, 21055355563025 is an apocalyptic number.

1055355563025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1055355563025 is the 1027305-th square number.

1055355563025 is the 513653-rd centered octagonal number.

It is an amenable number.

1055355563025 is a deficient number, since it is larger than the sum of its proper divisors (957051994674).

1055355563025 is an frugal number, since it uses more digits than its factorization.

1055355563025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 1687500, while the sum is 45.

The spelling of 1055355563025 in words is "one trillion, fifty-five billion, three hundred fifty-five million, five hundred sixty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 37 45 75 81 111 135 185 225 333 405 555 617 675 925 999 1369 1665 1851 2025 2775 2997 3085 4107 4995 5553 6845 8325 9255 12321 14985 15425 16659 20535 22829 24975 27765 34225 36963 46275 49977 61605 68487 74925 83295 102675 110889 114145 138825 184815 205461 249885 308025 342435 380689 416475 554445 570725 616383 844673 924075 1027305 1142067 1249425 1712175 1849149 1903445 2534019 2772225 3081915 3426201 4223365 5136525 5710335 7602057 9245745 9517225 10278603 12670095 14085493 15409575 17131005 21116825 22806171 28551675 30835809 38010285 42256479 46228725 51393015 63350475 68418513 70427465 85655025 114030855 126769437 154179045 190051425 211282395 256965075 342092565 352137325 380308311 521163241 570154275 633847185 770895225 1056411975 1140924933 1563489723 1710462825 1901541555 2605816205 3169235925 4690469169 5704624665 7817448615 9507707775 13029081025 14071407507 23452345845 28523123325 39087243075 42214222521 70357037535 117261729225 211071112605 351785187675 1055355563025