10564968725 has 12 divisors (see below), whose sum is σ = 13103523300. Its totient is φ = 8450064000.

The previous prime is 10564968707. The next prime is 10564968763. The reversal of 10564968725 is 52786946501.

It can be written as a sum of positive squares in 6 ways, for example, as 8844676 + 10556124049 = 2974^2 + 102743^2 .

It is not a de Polignac number, because 10564968725 - 2¹⁴ = 10564952341 is a prime.

It is a super-2 number, since 2×10564968725² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70775 + ... + 161675.

It is an arithmetic number, because the mean of its divisors is an integer number (1091960275).

Almost surely, 2^10564968725 is an apocalyptic number.

It is an amenable number.

10564968725 is a deficient number, since it is larger than the sum of its proper divisors (2538554575).

10564968725 is an equidigital number, since it uses as much as digits as its factorization.

10564968725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95560 (or 95555 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 10564968725 in words is "ten billion, five hundred sixty-four million, nine hundred sixty-eight thousand, seven hundred twenty-five".