252972530290272 has 1152 divisors, whose sum is σ = 793481167245312. Its totient is φ = 70054767820800.

The previous prime is 252972530290267. The next prime is 252972530290429. The reversal of 252972530290272 is 272092035279252.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 286492106343 + ... + 286492107225.

It is an arithmetic number, because the mean of its divisors is an integer number (688785735456).

Almost surely, 2^{252972530290272} 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 252972530290272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396740583622656).

252972530290272 is an abundant number, since it is smaller than the sum of its proper divisors (540508636955040).

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

252972530290272 is a wasteful number, since it uses less digits than its factorization.

252972530290272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 57.

The spelling of 252972530290272 in words is "two hundred fifty-two trillion, nine hundred seventy-two billion, five hundred thirty million, two hundred ninety thousand, two hundred seventy-two".