2135664531 has 192 divisors, whose sum is σ = 4381977600. Its totient is φ = 966712320.

The previous prime is 2135664529. The next prime is 2135664547. The reversal of 2135664531 is 1354665312.

2135664531 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 6 + 645 + 3 + 1 = 666.

It is not a de Polignac number, because 2135664531 - 2¹ = 2135664529 is a prime.

It is a super-2 number, since 2×2135664531² = 9122125977942899922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2135664571) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14333245 + ... + 14333393.

It is an arithmetic number, because the mean of its divisors is an integer number (22822800).

Almost surely, 2^2135664531 is an apocalyptic number.

2135664531 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2135664531 is an abundant number, since it is smaller than the sum of its proper divisors (2246313069).

2135664531 is a wasteful number, since it uses less digits than its factorization.

2135664531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 263 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 2135664531 is about 46213.2505998009. The cubic root of 2135664531 is about 1287.7879143209.

It can be divided in two parts, 2135 and 664531, that added together give a palindrome (666666).

The spelling of 2135664531 in words is "two billion, one hundred thirty-five million, six hundred sixty-four thousand, five hundred thirty-one".