56625625 has 45 divisors (see below), whose sum is σ = 84270681. Its totient is φ = 37926000.

The previous prime is 56625607. The next prime is 56625637. The reversal of 56625625 is 52652665.

The square root of 56625625 is 7525.

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 4439449 + 52186176 = 2107^2 + 7224^2 .

It is not a de Polignac number, because 56625625 - 2⁷ = 56625497 is a prime.

It is a super-2 number, since 2×56625625² = 6412922813281250, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (108000) is a multiple of the sum of its prime factors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1316854 + ... + 1316896.

Almost surely, 2^56625625 is an apocalyptic number.

56625625 is the 7525-th square number.

56625625 is the 3763-rd centered octagonal number.

It is an amenable number.

56625625 is a deficient number, since it is larger than the sum of its proper divisors (27645056).

56625625 is an frugal number, since it uses more digits than its factorization.

56625625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 55 counting only the distinct ones).

The product of its digits is 108000, while the sum is 37.

The cubic root of 56625625 is about 384.0056987906.

It can be divided in two parts, 56 and 625625, that added together give a square (625681 = 791²).

The spelling of 56625625 in words is "fifty-six million, six hundred twenty-five thousand, six hundred twenty-five".