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1053440522505 = 3257139130118493
BaseRepresentation
bin11110101010001011111…
…00101011100100001001
310201201010002012020201100
433111011330223210021
5114224421233210010
62123535514212013
7136052144461440
oct17250574534411
93651102166640
101053440522505
11376841791478
121501b7124009
1378453a7b9a7
1438db5a91d57
151c6081ba2c0
hexf545f2b909

1053440522505 has 96 divisors (see below), whose sum is σ = 2103557863680. Its totient is φ = 477714931200.

The previous prime is 1053440522489. The next prime is 1053440522531. The reversal of 1053440522505 is 5052250443501.

1053440522505 is a `hidden beast` number, since 10 + 5 + 34 + 40 + 522 + 50 + 5 = 666.

It is not a de Polignac number, because 1053440522505 - 24 = 1053440522489 is a prime.

It is a super-2 number, since 2×10534405225052 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053440522505.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56955039 + ... + 56973531.

It is an arithmetic number, because the mean of its divisors is an integer number (21912061080).

Almost surely, 21053440522505 is an apocalyptic number.

1053440522505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1053440522505 is a deficient number, since it is larger than the sum of its proper divisors (1050117341175).

1053440522505 is a wasteful number, since it uses less digits than its factorization.

1053440522505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19951 (or 19948 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 1053440522505 in words is "one trillion, fifty-three billion, four hundred forty million, five hundred twenty-two thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 139 315 417 695 973 1251 1301 2085 2919 3903 4865 6255 6505 8757 9107 11709 14595 18493 19515 27321 43785 45535 55479 58545 81963 92465 129451 136605 166437 180839 277395 388353 409815 542517 647255 832185 904195 1165059 1265873 1627551 1941765 2570527 2712585 3797619 5825295 6329365 7711581 8137755 11392857 12852635 17993689 18988095 23134743 24059393 38557905 53981067 56964285 72178179 89968445 115673715 120296965 161943201 168415751 216534537 269905335 360890895 505247253 809716005 842078755 1082672685 1515741759 2526236265 3344255627 7578708795 10032766881 16721278135 23409789389 30098300643 50163834405 70229368167 117048946945 150491503215 210688104501 351146840835 1053440522505