252910331520 has 1024 divisors, whose sum is σ = 1065996288000. Its totient is φ = 49410293760.

The previous prime is 252910331519. The next prime is 252910331537. The reversal of 252910331520 is 25133019252.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 502803589 + ... + 502804091.

It is an arithmetic number, because the mean of its divisors is an integer number (1041012000).

Almost surely, 2^252910331520 is an apocalyptic number.

252910331520 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 252910331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532998144000).

252910331520 is an abundant number, since it is smaller than the sum of its proper divisors (813085956480).

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

252910331520 is a wasteful number, since it uses less digits than its factorization.

252910331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 252910331520 in words is "two hundred fifty-two billion, nine hundred ten million, three hundred thirty-one thousand, five hundred twenty".