2661516623513 has 24 divisors (see below), whose sum is σ = 2928766357440. Its totient is φ = 2416835124000.

The previous prime is 2661516623509. The next prime is 2661516623527. The reversal of 2661516623513 is 3153266151662.

It is not a de Polignac number, because 2661516623513 - 2² = 2661516623509 is a prime.

It is a super-2 number, since 2×2661516623513² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2661516623113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610857731 + ... + 610862087.

It is an arithmetic number, because the mean of its divisors is an integer number (122031931560).

Almost surely, 2^{2661516623513} is an apocalyptic number.

It is an amenable number.

2661516623513 is a deficient number, since it is larger than the sum of its proper divisors (267249733927).

2661516623513 is a wasteful number, since it uses less digits than its factorization.

2661516623513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8909 (or 8898 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 47.

The spelling of 2661516623513 in words is "two trillion, six hundred sixty-one billion, five hundred sixteen million, six hundred twenty-three thousand, five hundred thirteen".