252616255260 has 96 divisors (see below), whose sum is σ = 730383273984. Its totient is φ = 65169792000.

The previous prime is 252616255259. The next prime is 252616255261. The reversal of 252616255260 is 62552616252.

It is an interprime number because it is at equal distance from previous prime (252616255259) and next prime (252616255261).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252616255261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6063300 + ... + 6104820.

It is an arithmetic number, because the mean of its divisors is an integer number (7608159104).

Almost surely, 2^252616255260 is an apocalyptic number.

252616255260 is a gapful number since it is divisible by the number (20) 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 252616255260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365191636992).

252616255260 is an abundant number, since it is smaller than the sum of its proper divisors (477767018724).

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

252616255260 is a wasteful number, since it uses less digits than its factorization.

252616255260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44835 (or 44833 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 252616255260 in words is "two hundred fifty-two billion, six hundred sixteen million, two hundred fifty-five thousand, two hundred sixty".