36129265929 has 27 divisors (see below), whose sum is σ = 55451979687. Its totient is φ = 22663260864.

The previous prime is 36129265919. The next prime is 36129265961. The reversal of 36129265929 is 92956292163.

It is a happy number.

The square root of 36129265929 is 190077.

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

36129265929 is a `hidden beast` number, since 3 + 6 + 1 + 29 + 26 + 592 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28128321225 + 8000944704 = 167715^2 + 89448^2 .

It is not a de Polignac number, because 36129265929 - 2⁵ = 36129265897 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (36129265919) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9692064 + ... + 9695790.

Almost surely, 2^36129265929 is an apocalyptic number.

36129265929 is the 190077-th square number.

36129265929 is the 95039-th centered octagonal number.

It is an amenable number.

36129265929 is a deficient number, since it is larger than the sum of its proper divisors (19322713758).

36129265929 is an frugal number, since it uses more digits than its factorization.

36129265929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7494 (or 3747 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The spelling of 36129265929 in words is "thirty-six billion, one hundred twenty-nine million, two hundred sixty-five thousand, nine hundred twenty-nine".