56575001025 has 81 divisors (see below), whose sum is σ = 103001367963. Its totient is φ = 29684304000.

The previous prime is 56575001017. The next prime is 56575001051. The reversal of 56575001025 is 52010057565.

It is a happy number.

The square root of 56575001025 is 237855.

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

56575001025 is a `hidden beast` number, since 56 + 575 + 0 + 0 + 10 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 15685308081 + 40889692944 = 125241^2 + 202212^2 .

It is not a de Polignac number, because 56575001025 - 2³ = 56575001017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 360350247 + ... + 360350403.

Almost surely, 2^56575001025 is an apocalyptic number.

56575001025 is the 237855-th square number.

56575001025 is the 118928-th centered octagonal number.

It is an amenable number.

56575001025 is a deficient number, since it is larger than the sum of its proper divisors (46426366938).

56575001025 is a wasteful number, since it uses less digits than its factorization.

56575001025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 266 counting only the distinct ones).

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

Multiplying 56575001025 by its sum of digits (36), we get a square (2036700036900 = 1427130²).

The spelling of 56575001025 in words is "fifty-six billion, five hundred seventy-five million, one thousand, twenty-five".