252986753024 has 64 divisors (see below), whose sum is σ = 506743358280. Its totient is φ = 126299013120.

The previous prime is 252986753011. The next prime is 252986753057. The reversal of 252986753024 is 420357689252.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×252986753024³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22637102 + ... + 22648274.

Almost surely, 2^252986753024 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 252986753024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253371679140).

252986753024 is an abundant number, since it is smaller than the sum of its proper divisors (253756605256).

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

252986753024 is an frugal number, since it uses more digits than its factorization.

252986753024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11894 (or 11866 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 53.

The spelling of 252986753024 in words is "two hundred fifty-two billion, nine hundred eighty-six million, seven hundred fifty-three thousand, twenty-four".