252536592 has 240 divisors, whose sum is σ = 850874112. Its totient is φ = 63786240.

The previous prime is 252536591. The next prime is 252536597. The reversal of 252536592 is 295635252.

252536592 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 252536592.

It is not an unprimeable number, because it can be changed into a prime (252536591) 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 47 ways as a sum of consecutive naturals, for example, 1112383 + ... + 1112609.

Almost surely, 2^252536592 is an apocalyptic number.

252536592 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252536592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425437056).

252536592 is an abundant number, since it is smaller than the sum of its proper divisors (598337520).

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

252536592 is a wasteful number, since it uses less digits than its factorization.

252536592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its digits is 162000, while the sum is 39.

The square root of 252536592 is about 15891.3999383314. The cubic root of 252536592 is about 632.0839631010.

The spelling of 252536592 in words is "two hundred fifty-two million, five hundred thirty-six thousand, five hundred ninety-two".