252542017080 has 448 divisors, whose sum is σ = 883095033600. Its totient is φ = 64900362240.

The previous prime is 252542017037. The next prime is 252542017097. The reversal of 252542017080 is 80710245252.

It is a happy number.

252542017080 is a `hidden beast` number, since 2 + 525 + 42 + 0 + 17 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 304634106 + ... + 304634934.

Almost surely, 2^252542017080 is an apocalyptic number.

252542017080 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 252542017080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441547516800).

252542017080 is an abundant number, since it is smaller than the sum of its proper divisors (630553016520).

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

252542017080 is a wasteful number, since it uses less digits than its factorization.

252542017080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 252542017080 in words is "two hundred fifty-two billion, five hundred forty-two million, seventeen thousand, eighty".