252510 has 32 divisors (see below), whose sum is σ = 639360. Its totient is φ = 63648.

The previous prime is 252509. The next prime is 252533. The reversal of 252510 is 15252.

It is a super-2 number, since 2×252510² = 127522600200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 252510.

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 252510.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (19980).

2²⁵²⁵¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319680).

252510 is an abundant number, since it is smaller than the sum of its proper divisors (386850).

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

252510 is a wasteful number, since it uses less digits than its factorization.

252510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472.

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

The square root of 252510 is about 502.5037313294. The cubic root of 252510 is about 63.2061776261.

Adding to 252510 its reverse (15252), we get a palindrome (267762).

The spelling of 252510 in words is "two hundred fifty-two thousand, five hundred ten".