6517672081617 has 8 divisors (see below), whose sum is σ = 8697393692224. Its totient is φ = 4341532596048.

The previous prime is 6517672081589. The next prime is 6517672081631. The reversal of 6517672081617 is 7161802767156.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 6517672081617 - 2²⁴ = 6517655304401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6517672080617) 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 7 ways as a sum of consecutive naturals, for example, 895527013 + ... + 895534290.

It is an arithmetic number, because the mean of its divisors is an integer number (1087174211528).

Almost surely, 2^{6517672081617} is an apocalyptic number.

It is an amenable number.

6517672081617 is a deficient number, since it is larger than the sum of its proper divisors (2179721610607).

6517672081617 is a wasteful number, since it uses less digits than its factorization.

6517672081617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791062519.

The product of its (nonzero) digits is 5927040, while the sum is 57.

The spelling of 6517672081617 in words is "six trillion, five hundred seventeen billion, six hundred seventy-two million, eighty-one thousand, six hundred seventeen".