253412540352504 has 192 divisors, whose sum is σ = 780979226227200. Its totient is φ = 73588369529088.

The previous prime is 253412540352479. The next prime is 253412540352509. The reversal of 253412540352504 is 405253045214352.

253412540352504 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 1 + 2 + 540 + 3 + 52 + 50 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 253412540352504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253412540352509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22413052 + ... + 31767435.

It is an arithmetic number, because the mean of its divisors is an integer number (4067600136600).

Almost surely, 2^{253412540352504} is an apocalyptic number.

253412540352504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253412540352504 is an abundant number, since it is smaller than the sum of its proper divisors (527566685874696).

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

253412540352504 is a wasteful number, since it uses less digits than its factorization.

253412540352504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54180794 (or 54180787 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

Adding to 253412540352504 its reverse (405253045214352), we get a palindrome (658665585566856).

The spelling of 253412540352504 in words is "two hundred fifty-three trillion, four hundred twelve billion, five hundred forty million, three hundred fifty-two thousand, five hundred four".