135315513531 has 48 divisors (see below), whose sum is σ = 223467528960. Its totient is φ = 78100925760.

The previous prime is 135315513503. The next prime is 135315513559.

135315513531 is a `hidden beast` number, since 1 + 3 + 53 + 1 + 551 + 3 + 53 + 1 = 666.

135315513531 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (135315513503) and next prime (135315513559).

It is not a de Polignac number, because 135315513531 - 2¹¹ = 135315511483 is a prime.

It is a super-2 number, since 2×135315513531² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135315513031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391680 + ... + 651186.

It is an arithmetic number, because the mean of its divisors is an integer number (4655573520).

Almost surely, 2^135315513531 is an apocalyptic number.

135315513531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135315513531 is a deficient number, since it is larger than the sum of its proper divisors (88152015429).

135315513531 is a wasteful number, since it uses less digits than its factorization.

135315513531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259776 (or 259773 counting only the distinct ones).

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

It can be divided in two parts, 135315 and 513531, that added together give a palindrome (648846).

The spelling of 135315513531 in words is "one hundred thirty-five billion, three hundred fifteen million, five hundred thirteen thousand, five hundred thirty-one".