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10564307525 = 523773315581
BaseRepresentation
bin10011101011010111…
…01000101001000101
31000021020121102112002
421311223220221011
5133113430320100
64504141435045
7522536063252
oct116553505105
930236542462
1010564307525
114531304672
122069b6ba85
13cc489a055
14723098429
1541c6ca2d5
hex275ae8a45

10564307525 has 24 divisors (see below), whose sum is σ = 13473007464. Its totient is φ = 8211283200.

The previous prime is 10564307519. The next prime is 10564307563. The reversal of 10564307525 is 52570346501.

It is a happy number.

10564307525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 81414529 + 10482892996 = 9023^2 + 102386^2 .

It is not a de Polignac number, because 10564307525 - 212 = 10564303429 is a prime.

It is a super-2 number, since 2×105643075252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 670235 + ... + 685815.

It is an arithmetic number, because the mean of its divisors is an integer number (561375311).

Almost surely, 210564307525 is an apocalyptic number.

It is an amenable number.

10564307525 is a deficient number, since it is larger than the sum of its proper divisors (2908699939).

10564307525 is a wasteful number, since it uses less digits than its factorization.

10564307525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16361 (or 16356 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 38.

The spelling of 10564307525 in words is "ten billion, five hundred sixty-four million, three hundred seven thousand, five hundred twenty-five".

Divisors: 1 5 25 37 185 733 925 3665 15581 18325 27121 77905 135605 389525 576497 678025 2882485 11420873 14412425 57104365 285521825 422572301 2112861505 10564307525