252515032000 has 672 divisors, whose sum is σ = 800779801536. Its totient is φ = 77995008000.

The previous prime is 252515031991. The next prime is 252515032001. The reversal of 252515032000 is 230515252.

It is a happy number.

252515032000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252515032000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252515032001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 676983814 + ... + 676984186.

Almost surely, 2^252515032000 is an apocalyptic number.

252515032000 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 252515032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400389900768).

252515032000 is an abundant number, since it is smaller than the sum of its proper divisors (548264769536).

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

252515032000 is a wasteful number, since it uses less digits than its factorization.

252515032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 252515032000 its reverse (230515252), we get a palindrome (252745547252).

The spelling of 252515032000 in words is "two hundred fifty-two billion, five hundred fifteen million, thirty-two thousand".