252516564 has 72 divisors (see below), whose sum is σ = 662400648. Its totient is φ = 81043200.

The previous prime is 252516529. The next prime is 252516569. The reversal of 252516564 is 465615252.

It can be written as a sum of positive squares in 4 ways, for example, as 173448900 + 79067664 = 13170^2 + 8892^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252516569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133594 + ... + 135470.

It is an arithmetic number, because the mean of its divisors is an integer number (9200009).

Almost surely, 2^252516564 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 252516564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331200324).

252516564 is an abundant number, since it is smaller than the sum of its proper divisors (409884084).

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

252516564 is a wasteful number, since it uses less digits than its factorization.

252516564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2020 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 252516564 is about 15890.7697736768. The cubic root of 252516564 is about 632.0672530312.

The spelling of 252516564 in words is "two hundred fifty-two million, five hundred sixteen thousand, five hundred sixty-four".