252522030528 has 336 divisors, whose sum is σ = 755265139200. Its totient is φ = 80600832000.

The previous prime is 252522030511. The next prime is 252522030529. The reversal of 252522030528 is 825030225252.

252522030528 is a `hidden beast` number, since 2 + 52 + 52 + 2 + 0 + 30 + 528 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 252522030492 and 252522030501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252522030529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421572373 + ... + 421572971.

Almost surely, 2^252522030528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252522030528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377632569600).

252522030528 is an abundant number, since it is smaller than the sum of its proper divisors (502743108672).

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

252522030528 is a wasteful number, since it uses less digits than its factorization.

252522030528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 252522030528 in words is "two hundred fifty-two billion, five hundred twenty-two million, thirty thousand, five hundred twenty-eight".