252580 has 24 divisors (see below), whose sum is σ = 540792. Its totient is φ = 99072.

The previous prime is 252559. The next prime is 252583. The reversal of 252580 is 85252.

252580 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 79524 + 173056 = 282^2 + 416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1374 + ... + 1546.

It is an arithmetic number, because the mean of its divisors is an integer number (22533).

2²⁵²⁵⁸⁰ is an apocalyptic number.

252580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252580 is an abundant number, since it is smaller than the sum of its proper divisors (288212).

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

252580 is a wasteful number, since it uses less digits than its factorization.

252580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 252580 is about 502.5733777271. The cubic root of 252580 is about 63.2120176901.

The spelling of 252580 in words is "two hundred fifty-two thousand, five hundred eighty".