10575666600625 has 45 divisors (see below), whose sum is σ = 15373788938541. Its totient is φ = 7251495426000.

The previous prime is 10575666600581. The next prime is 10575666600641. The reversal of 10575666600625 is 52600666657501.

The square root of 10575666600625 is 3252025.

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

It can be written as a sum of positive squares in 2 ways, for example, as 829132261489 + 9746534339136 = 910567^2 + 3121944^2 .

It is not a de Polignac number, because 10575666600625 - 2⁹ = 10575666600113 is a prime.

It is a super-2 number, since 2×10575666600625² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 569095084 + ... + 569113666.

Almost surely, 2^{10575666600625} is an apocalyptic number.

10575666600625 is the 3252025-th square number.

10575666600625 is the 1626013-rd centered octagonal number.

It is an amenable number.

10575666600625 is a deficient number, since it is larger than the sum of its proper divisors (4798122337916).

10575666600625 is an frugal number, since it uses more digits than its factorization.

10575666600625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37200 (or 18595 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 55.

The spelling of 10575666600625 in words is "ten trillion, five hundred seventy-five billion, six hundred sixty-six million, six hundred thousand, six hundred twenty-five".