57972600625 has 15 divisors (see below), whose sum is σ = 72450084333. Its totient is φ = 46373265000.

The previous prime is 57972600563. The next prime is 57972600667. The reversal of 57972600625 is 52600627975.

The square root of 57972600625 is 240775.

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 4545051889 + 53427548736 = 67417^2 + 231144^2 .

It is not a de Polignac number, because 57972600625 - 2¹⁵ = 57972567857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6014560 + ... + 6024190.

Almost surely, 2^57972600625 is an apocalyptic number.

57972600625 is the 240775-th square number.

57972600625 is the 120388-th centered octagonal number.

It is an amenable number.

57972600625 is a deficient number, since it is larger than the sum of its proper divisors (14477483708).

57972600625 is an frugal number, since it uses more digits than its factorization.

57972600625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19282 (or 9636 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 49.

Multiplying 57972600625 by its sum of digits (49), we get a square (2840657430625 = 1685425²).

The spelling of 57972600625 in words is "fifty-seven billion, nine hundred seventy-two million, six hundred thousand, six hundred twenty-five".