52512 has 24 divisors (see below), whose sum is σ = 138096. Its totient is φ = 17472.

The previous prime is 52511. The next prime is 52517. The reversal of 52512 is 21525.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 52491 and 52500.

It is not an unprimeable number, because it can be changed into a prime (52511) 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, 178 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (5754).

2⁵²⁵¹² is an apocalyptic number.

It is an amenable number.

52512 is an abundant number, since it is smaller than the sum of its proper divisors (85584).

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 (69048).

52512 is a wasteful number, since it uses less digits than its factorization.

52512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 552 counting only the distinct ones).

The product of its digits is 100, while the sum is 15.

The square root of 52512 is about 229.1549693984. The cubic root of 52512 is about 37.4472146225.

It can be divided in two parts, 5251 and 2, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 52512 in words is "fifty-two thousand, five hundred twelve".