252582727285252 has 192 divisors, whose sum is σ = 551797433381376. Its totient is φ = 98503816642560.

The previous prime is 252582727285243. The next prime is 252582727285297.

252582727285252 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12981576708 + ... + 12981596164.

It is an arithmetic number, because the mean of its divisors is an integer number (2873944965528).

Almost surely, 2^{252582727285252} 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 252582727285252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275898716690688).

252582727285252 is an abundant number, since it is smaller than the sum of its proper divisors (299214706096124).

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

252582727285252 is a wasteful number, since it uses less digits than its factorization.

252582727285252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21006 (or 21004 counting only the distinct ones).

The product of its digits is 250880000, while the sum is 64.

The spelling of 252582727285252 in words is "two hundred fifty-two trillion, five hundred eighty-two billion, seven hundred twenty-seven million, two hundred eighty-five thousand, two hundred fifty-two".