53052 has 12 divisors (see below), whose sum is σ = 123816. Its totient is φ = 17680.

The previous prime is 53051. The next prime is 53069. The reversal of 53052 is 25035.

It is a tau number, because it is divible by the number of its divisors (12).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2199 + ... + 2222.

It is an arithmetic number, because the mean of its divisors is an integer number (10318).

2⁵³⁰⁵² is an apocalyptic number.

It is an amenable number.

53052 is an abundant number, since it is smaller than the sum of its proper divisors (70764).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61908).

53052 is a wasteful number, since it uses less digits than its factorization.

53052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4428 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 53052 is about 230.3301977597. The cubic root of 53052 is about 37.5751382349.

Adding to 53052 its reverse (25035), we get a palindrome (78087).

The spelling of 53052 in words is "fifty-three thousand, fifty-two".