56052 has 30 divisors (see below), whose sum is σ = 147378. Its totient is φ = 18576.

The previous prime is 56041. The next prime is 56053. The reversal of 56052 is 25065.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 1296 = 234^2 + 36^2 .

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

It is a zygodrome in base 3.

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 56052.

It is not an unprimeable number, because it can be changed into a prime (56053) by changing a digit.

56052 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 9 ways as a sum of consecutive naturals, for example, 238 + ... + 410.

2⁵⁶⁰⁵² 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 56052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73689).

56052 is an abundant number, since it is smaller than the sum of its proper divisors (91326).

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

56052 is a wasteful number, since it uses less digits than its factorization.

56052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

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

The square root of 56052 is about 236.7530358834. The cubic root of 56052 is about 38.2704619469.

The spelling of 56052 in words is "fifty-six thousand, fifty-two", and thus it is an eban number.