2116512013 has 16 divisors (see below), whose sum is σ = 2640278016. Its totient is φ = 1648286640.

The previous prime is 2116512007. The next prime is 2116512043. The reversal of 2116512013 is 3102156112.

It is a happy number.

It is not a de Polignac number, because 2116512013 - 2²⁹ = 1579641101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116512043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147370 + ... + 161092.

It is an arithmetic number, because the mean of its divisors is an integer number (165017376).

Almost surely, 2^2116512013 is an apocalyptic number.

It is an amenable number.

2116512013 is a deficient number, since it is larger than the sum of its proper divisors (523766003).

2116512013 is a wasteful number, since it uses less digits than its factorization.

2116512013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15744.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 2116512013 is about 46005.5650220710. The cubic root of 2116512013 is about 1283.9267460546.

Adding to 2116512013 its reverse (3102156112), we get a palindrome (5218668125).

The spelling of 2116512013 in words is "two billion, one hundred sixteen million, five hundred twelve thousand, thirteen".