52952 has 8 divisors (see below), whose sum is σ = 99300. Its totient is φ = 26472.

The previous prime is 52951. The next prime is 52957. The reversal of 52952 is 25925.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3302 + ... + 3317.

2⁵²⁹⁵² is an apocalyptic number.

It is an amenable number.

52952 is a deficient number, since it is larger than the sum of its proper divisors (46348).

52952 is a wasteful number, since it uses less digits than its factorization.

52952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625 (or 6621 counting only the distinct ones).

The product of its digits is 900, while the sum is 23.

The square root of 52952 is about 230.1130157118. The cubic root of 52952 is about 37.5515143866.

Adding to 52952 its sum of digits (23), we get a triangular number (52975 = T₃₂₅).

The spelling of 52952 in words is "fifty-two thousand, nine hundred fifty-two".