253412413454304 has 144 divisors (see below), whose sum is σ = 800348377273200. Its totient is φ = 77973050248704.

The previous prime is 253412413454303. The next prime is 253412413454399. The reversal of 253412413454304 is 403454314214352.

It is a happy number.

253412413454304 is a `hidden beast` number, since 2 + 5 + 34 + 1 + 2 + 41 + 34 + 543 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×253412413454304² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253412413454304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253412413454303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 867609619 + ... + 867901650.

It is an arithmetic number, because the mean of its divisors is an integer number (5557974842175).

Almost surely, 2^{253412413454304} is an apocalyptic number.

253412413454304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253412413454304 is an abundant number, since it is smaller than the sum of its proper divisors (546935963818896).

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

253412413454304 is a wasteful number, since it uses less digits than its factorization.

253412413454304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735511314 (or 1735511287 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 253412413454304 its reverse (403454314214352), we get a palindrome (656866727668656).

The spelling of 253412413454304 in words is "two hundred fifty-three trillion, four hundred twelve billion, four hundred thirteen million, four hundred fifty-four thousand, three hundred four".