253134101431352 has 16 divisors (see below), whose sum is σ = 474819456259800. Its totient is φ = 126515579762080.

The previous prime is 253134101431333. The next prime is 253134101431363.

It is a happy number.

253134101431352 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×253134101431352³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6433848299 + ... + 6433887642.

Almost surely, 2^{253134101431352} is an apocalyptic number.

It is an amenable number.

253134101431352 is a deficient number, since it is larger than the sum of its proper divisors (221685354828448).

253134101431352 is a wasteful number, since it uses less digits than its factorization.

253134101431352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12867738406 (or 12867738402 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

It can be divided in two parts, 25313410 and 1431352, that added together give a palindrome (26744762).

The spelling of 253134101431352 in words is "two hundred fifty-three trillion, one hundred thirty-four billion, one hundred one million, four hundred thirty-one thousand, three hundred fifty-two".