252575575252 has 96 divisors (see below), whose sum is σ = 595723290624. Its totient is φ = 90490608000.

The previous prime is 252575575237. The next prime is 252575575267.

252575575252 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (252575575237) and next prime (252575575267).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 252575575252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933127 + ... + 1172977.

It is an arithmetic number, because the mean of its divisors is an integer number (6205450944).

Almost surely, 2^252575575252 is an apocalyptic number.

252575575252 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 252575575252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297861645312).

252575575252 is an abundant number, since it is smaller than the sum of its proper divisors (343147715372).

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

252575575252 is a wasteful number, since it uses less digits than its factorization.

252575575252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240149 (or 240147 counting only the distinct ones).

The product of its digits is 12250000, while the sum is 52.

The spelling of 252575575252 in words is "two hundred fifty-two billion, five hundred seventy-five million, five hundred seventy-five thousand, two hundred fifty-two".