53288256 has 112 divisors (see below), whose sum is σ = 166461440. Its totient is φ = 14722560.

The previous prime is 53288243. The next prime is 53288273. The reversal of 53288256 is 65288235.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 41025 + ... + 42303.

Almost surely, 2^53288256 is an apocalyptic number.

53288256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53288256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83230720).

53288256 is an abundant number, since it is smaller than the sum of its proper divisors (113173184).

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

53288256 is a wasteful number, since it uses less digits than its factorization.

53288256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1322 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 53288256 is about 7299.8805469679. The cubic root of 53288256 is about 376.3083331741.

It can be divided in two parts, 532 and 88256, that added together give a palindrome (88788).

The spelling of 53288256 in words is "fifty-three million, two hundred eighty-eight thousand, two hundred fifty-six".