252621564 has 48 divisors (see below), whose sum is σ = 672140448. Its totient is φ = 73156608.

The previous prime is 252621559. The next prime is 252621613. The reversal of 252621564 is 465126252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44977 + ... + 50280.

It is an arithmetic number, because the mean of its divisors is an integer number (14002926).

Almost surely, 2^252621564 is an apocalyptic number.

It is an amenable number.

252621564 is an abundant number, since it is smaller than the sum of its proper divisors (419518884).

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

252621564 is a wasteful number, since it uses less digits than its factorization.

252621564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95294 (or 95292 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 252621564 is about 15894.0732350144. The cubic root of 252621564 is about 632.1548484267.

It can be divided in two parts, 2526 and 21564, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 252621564 in words is "two hundred fifty-two million, six hundred twenty-one thousand, five hundred sixty-four".