252512 has 24 divisors (see below), whose sum is σ = 536256. Its totient is φ = 116352.

The previous prime is 252509. The next prime is 252533. The reversal of 252512 is 215252.

252512 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 inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252512.

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, 113 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (22344).

2²⁵²⁵¹² 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 252512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268128).

252512 is an abundant number, since it is smaller than the sum of its proper divisors (283744).

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

252512 is a wasteful number, since it uses less digits than its factorization.

252512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its digits is 200, while the sum is 17.

The square root of 252512 is about 502.5057213605. The cubic root of 252512 is about 63.2063445001.

Adding to 252512 its reverse (215252), we get a palindrome (467764).

The spelling of 252512 in words is "two hundred fifty-two thousand, five hundred twelve".