51588964 has 18 divisors (see below), whose sum is σ = 105020790. Its totient is φ = 22109472.

The previous prime is 51588923. The next prime is 51588983. The reversal of 51588964 is 46988515.

51588964 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 only one way, i.e., 37088100 + 14500864 = 6090^2 + 3808^2 .

It is a super-2 number, since 2×51588964² = 5322842413186592, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131409 + ... + 131800.

Almost surely, 2^51588964 is an apocalyptic number.

It is an amenable number.

51588964 is an abundant number, since it is smaller than the sum of its proper divisors (53431826).

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

51588964 is a wasteful number, since it uses less digits than its factorization.

51588964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263227 (or 263218 counting only the distinct ones).

The product of its digits is 345600, while the sum is 46.

The square root of 51588964 is about 7182.5457882286. The cubic root of 51588964 is about 372.2650537117.

The spelling of 51588964 in words is "fifty-one million, five hundred eighty-eight thousand, nine hundred sixty-four".