37568130625 has 15 divisors (see below), whose sum is σ = 46951191903. Its totient is φ = 30050628000.

The previous prime is 37568130581. The next prime is 37568130637. The reversal of 37568130625 is 52603186573.

The square root of 37568130625 is 193825.

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

37568130625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 4464511489 + 33103619136 = 66817^2 + 181944^2 .

It is not a de Polignac number, because 37568130625 - 2⁷ = 37568130497 is a prime.

It is a super-2 number, since 2×37568130625² (a number of 22 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 14 ways as a sum of consecutive naturals, for example, 4841749 + ... + 4849501.

Almost surely, 2^37568130625 is an apocalyptic number.

37568130625 is the 193825-th square number.

37568130625 is the 96913-rd centered octagonal number.

It is an amenable number.

37568130625 is a deficient number, since it is larger than the sum of its proper divisors (9383061278).

37568130625 is an frugal number, since it uses more digits than its factorization.

37568130625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15526 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 37568130625 in words is "thirty-seven billion, five hundred sixty-eight million, one hundred thirty thousand, six hundred twenty-five".