253997856324 has 297 divisors, whose sum is σ = 720068995191. Its totient is φ = 78379280640.

The previous prime is 253997856319. The next prime is 253997856391. The reversal of 253997856324 is 423658799352.

The square root of 253997856324 is 503982.

It is a perfect power (a square), and thus also a powerful number.

253997856324 is a `hidden beast` number, since 2 + 539 + 9 + 78 + 5 + 6 + 3 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23436548100 + 230561308224 = 153090^2 + 480168^2 .

It is a super-2 number, since 2×253997856324² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 4163899254 + ... + 4163899314.

Almost surely, 2^253997856324 is an apocalyptic number.

253997856324 is the 503982-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253997856324

253997856324 is an abundant number, since it is smaller than the sum of its proper divisors (466071138867).

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

253997856324 is an frugal number, since it uses more digits than its factorization.

253997856324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 83 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 253997856324 in words is "two hundred fifty-three billion, nine hundred ninety-seven million, eight hundred fifty-six thousand, three hundred twenty-four".