52052 has 36 divisors (see below), whose sum is σ = 122976. Its totient is φ = 18720.

The previous prime is 52051. The next prime is 52057. The reversal of 52052 is 25025.

52052 is digitally balanced in base 2, because in such base 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 (14).

It is a nialpdrome in base 16.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3998 + ... + 4010.

It is an arithmetic number, because the mean of its divisors is an integer number (3416).

2⁵²⁰⁵² is an apocalyptic number.

52052 is a gapful number since it is divisible by the number (52) 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 52052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61488).

52052 is an abundant number, since it is smaller than the sum of its proper divisors (70924).

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

52052 is a wasteful number, since it uses less digits than its factorization.

52052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 52052 is about 228.1490740722. The cubic root of 52052 is about 37.3375491271.

Adding to 52052 its reverse (25025), we get a palindrome (77077).

The spelling of 52052 in words is "fifty-two thousand, fifty-two", and thus it is an eban number.