252510435435520 has 176 divisors, whose sum is σ = 608859457286400. Its totient is φ = 100482343796736.

The previous prime is 252510435435509. The next prime is 252510435435527. The reversal of 252510435435520 is 25534534015252.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (252510435435527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9916746309 + ... + 9916771771.

Almost surely, 2^{252510435435520} is an apocalyptic number.

252510435435520 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 252510435435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304429728643200).

252510435435520 is an abundant number, since it is smaller than the sum of its proper divisors (356349021850880).

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

252510435435520 is a wasteful number, since it uses less digits than its factorization.

252510435435520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35420 (or 35402 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 46.

The spelling of 252510435435520 in words is "two hundred fifty-two trillion, five hundred ten billion, four hundred thirty-five million, four hundred thirty-five thousand, five hundred twenty".