252735588 has 144 divisors (see below), whose sum is σ = 754790400. Its totient is φ = 69818112.

The previous prime is 252735577. The next prime is 252735619. The reversal of 252735588 is 885537252.

252735588 is a `hidden beast` number, since 25 + 2 + 73 + 558 + 8 = 666.

252735588 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1696138 + ... + 1696286.

It is an arithmetic number, because the mean of its divisors is an integer number (5241600).

Almost surely, 2^252735588 is an apocalyptic number.

252735588 is a gapful number since it is divisible by the number (28) 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 252735588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

252735588 is an abundant number, since it is smaller than the sum of its proper divisors (502054812).

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

252735588 is a wasteful number, since it uses less digits than its factorization.

252735588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 341 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 252735588 is about 15897.6598277860. The cubic root of 252735588 is about 632.2499445343.

The spelling of 252735588 in words is "two hundred fifty-two million, seven hundred thirty-five thousand, five hundred eighty-eight".