253431343134351 has 64 divisors (see below), whose sum is σ = 391212468864000. Its totient is φ = 161947311120000.

The previous prime is 253431343134323. The next prime is 253431343134353. The reversal of 253431343134351 is 153431343134352.

253431343134351 is a `hidden beast` number, since 2 + 5 + 3 + 431 + 34 + 3 + 134 + 3 + 51 = 666.

It is not a de Polignac number, because 253431343134351 - 2⁶ = 253431343134287 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 253431343134297 and 253431343134306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253431343134353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3436273726 + ... + 3436347476.

It is an arithmetic number, because the mean of its divisors is an integer number (6112694826000).

Almost surely, 2^{253431343134351} is an apocalyptic number.

253431343134351 is a deficient number, since it is larger than the sum of its proper divisors (137781125729649).

253431343134351 is a wasteful number, since it uses less digits than its factorization.

253431343134351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105501 (or 105495 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 45.

Subtracting from 253431343134351 its reverse (153431343134352), we obtain a palindrome (99999999999999).

The spelling of 253431343134351 in words is "two hundred fifty-three trillion, four hundred thirty-one billion, three hundred forty-three million, one hundred thirty-four thousand, three hundred fifty-one".