252563584 has 64 divisors (see below), whose sum is σ = 619295040. Its totient is φ = 99910656.

The previous prime is 252563579. The next prime is 252563587. The reversal of 252563584 is 485365252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (252563587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 807 + ... + 22489.

It is an arithmetic number, because the mean of its divisors is an integer number (9676485).

Almost surely, 2^252563584 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 252563584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309647520).

252563584 is an abundant number, since it is smaller than the sum of its proper divisors (366731456).

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

252563584 is a wasteful number, since it uses less digits than its factorization.

252563584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21717 (or 21705 counting only the distinct ones).

The product of its digits is 288000, while the sum is 40.

The square root of 252563584 is about 15892.2491800248. The cubic root of 252563584 is about 632.1064820851.

The spelling of 252563584 in words is "two hundred fifty-two million, five hundred sixty-three thousand, five hundred eighty-four".