53256 has 32 divisors (see below), whose sum is σ = 152640. Its totient is φ = 15168.

The previous prime is 53239. The next prime is 53267. The reversal of 53256 is 65235.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

53256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10 + ... + 326.

It is an arithmetic number, because the mean of its divisors is an integer number (4770).

2⁵³²⁵⁶ is an apocalyptic number.

53256 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 53256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76320).

53256 is an abundant number, since it is smaller than the sum of its proper divisors (99384).

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

53256 is a wasteful number, since it uses less digits than its factorization.

53256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 53256 is about 230.7726153598. The cubic root of 53256 is about 37.6232389915.

Subtracting from 53256 its sum of digits (21), we obtain a palindrome (53235).

It can be divided in two parts, 532 and 56, that multiplied together give a palindrome (29792).

The spelling of 53256 in words is "fifty-three thousand, two hundred fifty-six".