51164256 has 96 divisors (see below), whose sum is σ = 157828608. Its totient is φ = 14307840.

The previous prime is 51164227. The next prime is 51164261. The reversal of 51164256 is 65246115.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11865 + ... + 15591.

It is an arithmetic number, because the mean of its divisors is an integer number (1644048).

Almost surely, 2^51164256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51164256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78914304).

51164256 is an abundant number, since it is smaller than the sum of its proper divisors (106664352).

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

51164256 is a wasteful number, since it uses less digits than its factorization.

51164256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3756 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 51164256 is about 7152.9194039916. The cubic root of 51164256 is about 371.2406756606.

The spelling of 51164256 in words is "fifty-one million, one hundred sixty-four thousand, two hundred fifty-six".