6516116505101 has 16 divisors (see below), whose sum is σ = 7521277991040. Its totient is φ = 5529535108800.

The previous prime is 6516116505089. The next prime is 6516116505103. The reversal of 6516116505101 is 1015056116156.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 6516116505101 - 2¹⁰ = 6516116504077 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 (6516116505103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9443870 + ... + 10110336.

It is an arithmetic number, because the mean of its divisors is an integer number (470079874440).

Almost surely, 2^{6516116505101} is an apocalyptic number.

It is an amenable number.

6516116505101 is a deficient number, since it is larger than the sum of its proper divisors (1005161485939).

6516116505101 is a wasteful number, since it uses less digits than its factorization.

6516116505101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680404.

The product of its (nonzero) digits is 27000, while the sum is 38.

The spelling of 6516116505101 in words is "six trillion, five hundred sixteen billion, one hundred sixteen million, five hundred five thousand, one hundred one".