51952 has 20 divisors (see below), whose sum is σ = 107136. Its totient is φ = 24320.

The previous prime is 51949. The next prime is 51971. The reversal of 51952 is 25915.

51952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 177 + ... + 367.

2⁵¹⁹⁵² 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 51952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568).

51952 is an abundant number, since it is smaller than the sum of its proper divisors (55184).

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

51952 is a wasteful number, since it uses less digits than its factorization.

51952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its digits is 450, while the sum is 22.

The square root of 51952 is about 227.9298137585. The cubic root of 51952 is about 37.3136233829.

The spelling of 51952 in words is "fifty-one thousand, nine hundred fifty-two".