56509164 has 42 divisors (see below), whose sum is σ = 148276380. Its totient is φ = 18835416.

The previous prime is 56509163. The next prime is 56509177. The reversal of 56509164 is 46190565.

56509164 is a `hidden beast` number, since 565 + 0 + 91 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56509163) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 6774 + ... + 12605.

It is an arithmetic number, because the mean of its divisors is an integer number (3530390).

Almost surely, 2^56509164 is an apocalyptic number.

56509164 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56509164 is an abundant number, since it is smaller than the sum of its proper divisors (91767216).

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

56509164 is a wasteful number, since it uses less digits than its factorization.

56509164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19401 (or 19384 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 56509164 is about 7517.2577446832. The cubic root of 56509164 is about 383.7422586830.

The spelling of 56509164 in words is "fifty-six million, five hundred nine thousand, one hundred sixty-four".