36631517331261 has 64 divisors (see below), whose sum is σ = 53390827123200. Its totient is φ = 22246257623040.

The previous prime is 36631517331181. The next prime is 36631517331319. The reversal of 36631517331261 is 16213371513663.

It is a happy number.

It is not a de Polignac number, because 36631517331261 - 2¹⁰ = 36631517330237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36631517331261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36631517331361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2897827501 + ... + 2897840141.

It is an arithmetic number, because the mean of its divisors is an integer number (834231673800).

Almost surely, 2^{36631517331261} is an apocalyptic number.

It is an amenable number.

36631517331261 is a deficient number, since it is larger than the sum of its proper divisors (16759309791939).

36631517331261 is a wasteful number, since it uses less digits than its factorization.

36631517331261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20614.

The product of its digits is 1224720, while the sum is 48.

The spelling of 36631517331261 in words is "thirty-six trillion, six hundred thirty-one billion, five hundred seventeen million, three hundred thirty-one thousand, two hundred sixty-one".