253118813021424 has 240 divisors, whose sum is σ = 811954356595200. Its totient is φ = 72107479079424.

The previous prime is 253118813021411. The next prime is 253118813021467. The reversal of 253118813021424 is 424120318811352.

It is a happy number.

253118813021424 is a `hidden beast` number, since 2 + 5 + 3 + 11 + 88 + 130 + 2 + 1 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 253118813021424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2612305522 + ... + 2612402414.

It is an arithmetic number, because the mean of its divisors is an integer number (3383143152480).

Almost surely, 2^{253118813021424} is an apocalyptic number.

253118813021424 is a gapful number since it is divisible by the number (24) 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 253118813021424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405977178297600).

253118813021424 is an abundant number, since it is smaller than the sum of its proper divisors (558835543573776).

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

253118813021424 is a wasteful number, since it uses less digits than its factorization.

253118813021424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104492 (or 104483 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 253118813021424 in words is "two hundred fifty-three trillion, one hundred eighteen billion, eight hundred thirteen million, twenty-one thousand, four hundred twenty-four".