116535525129 has 81 divisors (see below), whose sum is σ = 182686595637. Its totient is φ = 71573628672.

The previous prime is 116535525109. The next prime is 116535525143. The reversal of 116535525129 is 921525535611.

The square root of 116535525129 is 341373.

It is a perfect power (a square), and thus also a powerful number.

116535525129 is a `hidden beast` number, since 1 + 16 + 535 + 52 + 51 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19677636729 + 96857888400 = 140277^2 + 311220^2 .

It is not a de Polignac number, because 116535525129 - 2³³ = 107945590537 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (116535525109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1031287777 + ... + 1031287889.

Almost surely, 2^116535525129 is an apocalyptic number.

116535525129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

116535525129 is the 341373-rd square number.

116535525129 is the 170687-th centered octagonal number.

It is an amenable number.

116535525129 is a deficient number, since it is larger than the sum of its proper divisors (66151070508).

116535525129 is an equidigital number, since it uses as much as digits as its factorization.

116535525129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 188 counting only the distinct ones).

The product of its digits is 405000, while the sum is 45.

The spelling of 116535525129 in words is "one hundred sixteen billion, five hundred thirty-five million, five hundred twenty-five thousand, one hundred twenty-nine".