56513664 has 48 divisors (see below), whose sum is σ = 162627270. Its totient is φ = 18837504.

The previous prime is 56513617. The next prime is 56513671. The reversal of 56513664 is 46631565.

56513664 is a `hidden beast` number, since 565 + 1 + 36 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40449600 + 16064064 = 6360^2 + 4008^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 23377 + ... + 25680.

Almost surely, 2^56513664 is an apocalyptic number.

It is an amenable number.

56513664 is an abundant number, since it is smaller than the sum of its proper divisors (106113606).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56513664 is a wasteful number, since it uses less digits than its factorization.

56513664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49077 (or 49062 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 56513664 is about 7517.5570499997. The cubic root of 56513664 is about 383.7524446081.

The spelling of 56513664 in words is "fifty-six million, five hundred thirteen thousand, six hundred sixty-four".