53131388313135 has 32 divisors (see below), whose sum is σ = 93656625477120. Its totient is φ = 25505616944000.

The previous prime is 53131388313127. The next prime is 53131388313137.

It is a happy number.

53131388313135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53131388313135 - 2³ = 53131388313127 is a prime.

It is a super-2 number, since 2×53131388313135² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53131388313137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1594084395 + ... + 1594117724.

It is an arithmetic number, because the mean of its divisors is an integer number (2926769546160).

Almost surely, 2^{53131388313135} is an apocalyptic number.

53131388313135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53131388313135 is a deficient number, since it is larger than the sum of its proper divisors (40525237163985).

53131388313135 is a wasteful number, since it uses less digits than its factorization.

53131388313135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188202239.

The product of its digits is 1166400, while the sum is 48.

The spelling of 53131388313135 in words is "fifty-three trillion, one hundred thirty-one billion, three hundred eighty-eight million, three hundred thirteen thousand, one hundred thirty-five".