531612216135 has 144 divisors (see below), whose sum is σ = 1244005820928. Its totient is φ = 203934931200.

The previous prime is 531612216101. The next prime is 531612216151.

531612216135 is a `hidden beast` number, since 5 + 3 + 1 + 6 + 12 + 21 + 613 + 5 = 666.

531612216135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 531612216135 - 2⁹ = 531612215623 is a prime.

It is a super-2 number, since 2×531612216135² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 531612216135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131670 + ... + 1039500.

It is an arithmetic number, because the mean of its divisors is an integer number (8638929312).

Almost surely, 2^531612216135 is an apocalyptic number.

531612216135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

531612216135 is an abundant number, since it is smaller than the sum of its proper divisors (712393604793).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

531612216135 is a wasteful number, since it uses less digits than its factorization.

531612216135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907886 (or 907870 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

It can be divided in two parts, 531612 and 216135, that added together give a palindrome (747747).

The spelling of 531612216135 in words is "five hundred thirty-one billion, six hundred twelve million, two hundred sixteen thousand, one hundred thirty-five".