52452 has 36 divisors (see below), whose sum is σ = 139776. Its totient is φ = 16560.

The previous prime is 52433. The next prime is 52453. The reversal of 52452 is 25425.

52452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (52453) by changing a digit.

52452 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 11 ways as a sum of consecutive naturals, for example, 1093 + ... + 1139.

2⁵²⁴⁵² 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 52452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69888).

52452 is an abundant number, since it is smaller than the sum of its proper divisors (87324).

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

52452 is a wasteful number, since it uses less digits than its factorization.

52452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 83 counting only the distinct ones).

The product of its digits is 400, while the sum is 18.

The square root of 52452 is about 229.0240162079. The cubic root of 52452 is about 37.4329468414.

Adding to 52452 its reverse (25425), we get a palindrome (77877).

It can be divided in two parts, 524 and 52, that added together give a square (576 = 24²).

The spelling of 52452 in words is "fifty-two thousand, four hundred fifty-two".