52056 has 32 divisors (see below), whose sum is σ = 145200. Its totient is φ = 17280.

The previous prime is 52051. The next prime is 52057. The reversal of 52056 is 65025.

52056 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52056.

It is not an unprimeable number, because it can be changed into a prime (52051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96 + ... + 336.

2⁵²⁰⁵⁶ 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 52056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72600).

52056 is an abundant number, since it is smaller than the sum of its proper divisors (93144).

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

52056 is a wasteful number, since it uses less digits than its factorization.

52056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 52056 is about 228.1578401020. The cubic root of 52056 is about 37.3385055192.

It can be divided in two parts, 520 and 56, that added together give a square (576 = 24²).

The spelling of 52056 in words is "fifty-two thousand, fifty-six", and thus it is an eban number.