2116505313 has 12 divisors (see below), whose sum is σ = 3292341780. Its totient is φ = 1302464736.

The previous prime is 2116505273. The next prime is 2116505327. The reversal of 2116505313 is 3135056112.

2116505313 is a `hidden beast` number, since 2 + 1 + 1 + 650 + 5 + 3 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103367889 + 2013137424 = 10167^2 + 44868^2 .

It is not a de Polignac number, because 2116505313 - 2¹⁰ = 2116504289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2116505383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9044778 + ... + 9045011.

It is an arithmetic number, because the mean of its divisors is an integer number (274361815).

Almost surely, 2^2116505313 is an apocalyptic number.

It is an amenable number.

2116505313 is a deficient number, since it is larger than the sum of its proper divisors (1175836467).

2116505313 is a wasteful number, since it uses less digits than its factorization.

2116505313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18089808 (or 18089805 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 2116505313 is about 46005.4922047357. The cubic root of 2116505313 is about 1283.9253912598.

The spelling of 2116505313 in words is "two billion, one hundred sixteen million, five hundred five thousand, three hundred thirteen".