531315513135 has 48 divisors (see below), whose sum is σ = 1014616650528. Its totient is φ = 255056928000.

The previous prime is 531315513067. The next prime is 531315513143.

531315513135 is a `hidden beast` number, since 5 + 3 + 1 + 3 + 1 + 5 + 513 + 135 = 666.

531315513135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 531315513135 - 2²⁰ = 531314464559 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 531315513135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5263692 + ... + 5363681.

It is an arithmetic number, because the mean of its divisors is an integer number (21137846886).

Almost surely, 2^531315513135 is an apocalyptic number.

531315513135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

531315513135 is a deficient number, since it is larger than the sum of its proper divisors (483301137393).

531315513135 is a wasteful number, since it uses less digits than its factorization.

531315513135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10627496 (or 10627493 counting only the distinct ones).

The product of its digits is 50625, while the sum is 36.

The spelling of 531315513135 in words is "five hundred thirty-one billion, three hundred fifteen million, five hundred thirteen thousand, one hundred thirty-five".