252973110309696 has 672 divisors, whose sum is σ = 916651517902848. Its totient is φ = 65038781399040.

The previous prime is 252973110309631. The next prime is 252973110309707. The reversal of 252973110309696 is 696903011379252.

252973110309696 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 7 + 311 + 0 + 309 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×252973110309696² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 175646521 + ... + 177080903.

It is an arithmetic number, because the mean of its divisors is an integer number (1364064758784).

Almost surely, 2^{252973110309696} 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 252973110309696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458325758951424).

252973110309696 is an abundant number, since it is smaller than the sum of its proper divisors (663678407593152).

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

252973110309696 is a wasteful number, since it uses less digits than its factorization.

252973110309696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434539 (or 1434526 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 252973110309696 in words is "two hundred fifty-two trillion, nine hundred seventy-three billion, one hundred ten million, three hundred nine thousand, six hundred ninety-six".