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1056575025 = 32521121972
BaseRepresentation
bin111110111110100…
…000111000110001
32201122010120110100
4332332200320301
54130440400100
6252502023013
735116511442
oct7676407061
92648116410
101056575025
114a2455500
12255a17a69
1313ab8822c
14a04772c9
1562b59400
hex3efa0e31

1056575025 has 81 divisors (see below), whose sum is σ = 2090736193. Its totient is φ = 509678400.

The previous prime is 1056574969. The next prime is 1056575029. The reversal of 1056575025 is 5205756501.

It is a happy number.

The square root of 1056575025 is 32505.

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

1056575025 is a `hidden beast` number, since 1 + 0 + 565 + 75 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 243640881 + 812934144 = 15609^2 + 28512^2 .

It is not a de Polignac number, because 1056575025 - 29 = 1056574513 is a prime.

It is a super-2 number, since 2×10565750252 = 2232701566907501250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1056575029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5363227 + ... + 5363423.

Almost surely, 21056575025 is an apocalyptic number.

1056575025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1056575025 is the 32505-th square number.

1056575025 is the 16253-rd centered octagonal number.

It is an amenable number.

1056575025 is a deficient number, since it is larger than the sum of its proper divisors (1034161168).

1056575025 is a wasteful number, since it uses less digits than its factorization.

1056575025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The cubic root of 1056575025 is about 1018.5134776541.

Multiplying 1056575025 by its sum of digits (36), we get a square (38036700900 = 1950302).

It can be divided in two parts, 1056 and 575025, that added together give a square (576081 = 7592).

The spelling of 1056575025 in words is "one billion, fifty-six million, five hundred seventy-five thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 197 225 275 363 495 591 605 825 985 1089 1773 1815 2167 2475 2955 3025 4925 5445 6501 8865 9075 10835 14775 19503 23837 27225 32505 38809 44325 54175 71511 97515 116427 119185 162525 194045 214533 349281 357555 426899 487575 582135 595925 970225 1072665 1280697 1746405 1787775 2134495 2910675 3842091 4695889 5363325 6403485 8732025 10672475 14087667 19210455 23479445 32017425 42263001 70438335 96052275 117397225 211315005 352191675 1056575025