56617625 has 32 divisors (see below), whose sum is σ = 76876800. Its totient is φ = 41472000.

The previous prime is 56617573. The next prime is 56617637. The reversal of 56617625 is 52671665.

It is not a de Polignac number, because 56617625 - 2²⁰ = 55569049 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73241 + ... + 74009.

It is an arithmetic number, because the mean of its divisors is an integer number (2402400).

Almost surely, 2^56617625 is an apocalyptic number.

It is an amenable number.

56617625 is a deficient number, since it is larger than the sum of its proper divisors (20259175).

56617625 is a wasteful number, since it uses less digits than its factorization.

56617625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 824 counting only the distinct ones).

The product of its digits is 75600, while the sum is 38.

The square root of 56617625 is about 7524.4684197623. The cubic root of 56617625 is about 383.9876139849.

The spelling of 56617625 in words is "fifty-six million, six hundred seventeen thousand, six hundred twenty-five".