253613397312 has 504 divisors, whose sum is σ = 862273238112. Its totient is φ = 70627737600.

The previous prime is 253613397307. The next prime is 253613397337. The reversal of 253613397312 is 213793316352.

253613397312 is a `hidden beast` number, since 2 + 536 + 1 + 3 + 39 + 73 + 12 = 666.

It is a super-2 number, since 2×253613397312² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78735862 + ... + 78739082.

Almost surely, 2^253613397312 is an apocalyptic number.

253613397312 is a gapful number since it is divisible by the number (22) 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 253613397312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431136619056).

253613397312 is an abundant number, since it is smaller than the sum of its proper divisors (608659840800).

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

253613397312 is a wasteful number, since it uses less digits than its factorization.

253613397312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3297 counting only the distinct ones).

The product of its digits is 612360, while the sum is 45.

The spelling of 253613397312 in words is "two hundred fifty-three billion, six hundred thirteen million, three hundred ninety-seven thousand, three hundred twelve".