252585585252 has 384 divisors, whose sum is σ = 886212526080. Its totient is φ = 60079864320.

The previous prime is 252585585199. The next prime is 252585585253.

252585585252 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 8 + 5 + 585 + 2 + 52 = 666.

252585585252 is nontrivially palindromic in base 10.

252585585252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (252585585253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13720518 + ... + 13738914.

It is an arithmetic number, because the mean of its divisors is an integer number (2307845120).

Almost surely, 2^252585585252 is an apocalyptic number.

252585585252 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 252585585252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443106263040).

252585585252 is an abundant number, since it is smaller than the sum of its proper divisors (633626940828).

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

252585585252 is a wasteful number, since it uses less digits than its factorization.

252585585252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18568 (or 18560 counting only the distinct ones).

The product of its digits is 16000000, while the sum is 54.

The spelling of 252585585252 in words is "two hundred fifty-two billion, five hundred eighty-five million, five hundred eighty-five thousand, two hundred fifty-two".