11516564458513 has 2 divisors, whose sum is σ = 11516564458514. Its totient is φ = 11516564458512.

The previous prime is 11516564458507. The next prime is 11516564458543. The reversal of 11516564458513 is 31585446561511.

11516564458513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9829805103504 + 1686759355009 = 3135252^2 + 1298753^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11516564458513 is a prime.

It is not a weakly prime, because it can be changed into another prime (11516564458543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5758282229256 + 5758282229257.

It is an arithmetic number, because the mean of its divisors is an integer number (5758282229257).

Almost surely, 2^{11516564458513} is an apocalyptic number.

It is an amenable number.

11516564458513 is a deficient number, since it is larger than the sum of its proper divisors (1).

11516564458513 is an equidigital number, since it uses as much as digits as its factorization.

11516564458513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8640000, while the sum is 55.

The spelling of 11516564458513 in words is "eleven trillion, five hundred sixteen billion, five hundred sixty-four million, four hundred fifty-eight thousand, five hundred thirteen".