51955264 has 63 divisors (see below), whose sum is σ = 111625507. Its totient is φ = 23988224.

The previous prime is 51955231. The next prime is 51955283. The reversal of 51955264 is 46255915.

The square root of 51955264 is 7208.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13017664 + 38937600 = 3608^2 + 6240^2 .

It is a Duffinian number.

Its product of digits (54000) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 980262 + ... + 980314.

Almost surely, 2^51955264 is an apocalyptic number.

51955264 is the 7208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51955264

51955264 is an abundant number, since it is smaller than the sum of its proper divisors (59670243).

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

51955264 is an equidigital number, since it uses as much as digits as its factorization.

51955264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 72 counting only the distinct ones).

The product of its digits is 54000, while the sum is 37.

The cubic root of 51955264 is about 373.1440480368.

The spelling of 51955264 in words is "fifty-one million, nine hundred fifty-five thousand, two hundred sixty-four".