109925264475625 has 45 divisors (see below), whose sum is σ = 140363132873601. Its totient is φ = 86059497486000.

The previous prime is 109925264475623. The next prime is 109925264475647. The reversal of 109925264475625 is 526574462529901.

The square root of 109925264475625 is 10484525.

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 8618140734889 + 101307123740736 = 2935667^2 + 10065144^2 .

It is not a de Polignac number, because 109925264475625 - 2¹ = 109925264475623 is a prime.

It is a super-2 number, since 2×109925264475625² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109925264475623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12319312414 + ... + 12319321336.

Almost surely, 2^{109925264475625} is an apocalyptic number.

109925264475625 is the 10484525-th square number.

109925264475625 is the 5242263-rd centered octagonal number.

It is an amenable number.

109925264475625 is a deficient number, since it is larger than the sum of its proper divisors (30437868397976).

109925264475625 is an frugal number, since it uses more digits than its factorization.

109925264475625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17960 (or 8975 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 67.

The spelling of 109925264475625 in words is "one hundred nine trillion, nine hundred twenty-five billion, two hundred sixty-four million, four hundred seventy-five thousand, six hundred twenty-five".