252031979520 has 832 divisors, whose sum is σ = 963324506880. Its totient is φ = 63063982080.

The previous prime is 252031979509. The next prime is 252031979531. The reversal of 252031979520 is 25979130252.

252031979520 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 31 + 97 + 9 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (252031979509) and next prime (252031979531).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761425755 + ... + 761426085.

Almost surely, 2^252031979520 is an apocalyptic number.

252031979520 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 252031979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481662253440).

252031979520 is an abundant number, since it is smaller than the sum of its proper divisors (711292527360).

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

252031979520 is an frugal number, since it uses more digits than its factorization.

252031979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 252031979520 in words is "two hundred fifty-two billion, thirty-one million, nine hundred seventy-nine thousand, five hundred twenty".