252492122520 has 384 divisors, whose sum is σ = 944209094400. Its totient is φ = 57872102400.

The previous prime is 252492122513. The next prime is 252492122551. The reversal of 252492122520 is 25221294252.

252492122520 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 9 + 2 + 122 + 520 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40701739 + ... + 40707941.

It is an arithmetic number, because the mean of its divisors is an integer number (2458877850).

Almost surely, 2^252492122520 is an apocalyptic number.

252492122520 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 252492122520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472104547200).

252492122520 is an abundant number, since it is smaller than the sum of its proper divisors (691716971880).

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

252492122520 is a wasteful number, since it uses less digits than its factorization.

252492122520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6791 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 252492122520 in words is "two hundred fifty-two billion, four hundred ninety-two million, one hundred twenty-two thousand, five hundred twenty".