2116456305513 has 32 divisors (see below), whose sum is σ = 3108803742720. Its totient is φ = 1270070168640.

The previous prime is 2116456305493. The next prime is 2116456305559. The reversal of 2116456305513 is 3155036546112.

It is a happy number.

It is not a de Polignac number, because 2116456305513 - 2⁹ = 2116456305001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2116456375513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26754823 + ... + 26833811.

It is an arithmetic number, because the mean of its divisors is an integer number (97150116960).

Almost surely, 2^{2116456305513} is an apocalyptic number.

It is an amenable number.

2116456305513 is a deficient number, since it is larger than the sum of its proper divisors (992347437207).

2116456305513 is a wasteful number, since it uses less digits than its factorization.

2116456305513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86989.

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 2116456305513 in words is "two trillion, one hundred sixteen billion, four hundred fifty-six million, three hundred five thousand, five hundred thirteen".