252601561477584 has 480 divisors, whose sum is σ = 824409045158400. Its totient is φ = 71397936000000.

The previous prime is 252601561477567. The next prime is 252601561477591. The reversal of 252601561477584 is 485774165106252.

252601561477584 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 0 + 1 + 5 + 6 + 1 + 47 + 7 + 584 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 543873459 + ... + 544337709.

It is an arithmetic number, because the mean of its divisors is an integer number (1717518844080).

Almost surely, 2^{252601561477584} is an apocalyptic number.

252601561477584 is a gapful number since it is divisible by the number (24) 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 252601561477584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412204522579200).

252601561477584 is an abundant number, since it is smaller than the sum of its proper divisors (571807483680816).

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

252601561477584 is a wasteful number, since it uses less digits than its factorization.

252601561477584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464575 (or 464566 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 252601561477584 in words is "two hundred fifty-two trillion, six hundred one billion, five hundred sixty-one million, four hundred seventy-seven thousand, five hundred eighty-four".