6005661056617 has 16 divisors (see below), whose sum is σ = 6587925935760. Its totient is φ = 5449415415808.

The previous prime is 6005661056611. The next prime is 6005661056657. The reversal of 6005661056617 is 7166501665006.

It can be written as a sum of positive squares in 8 ways, for example, as 1574884443136 + 4430776613481 = 1254944^2 + 2104941^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6005661056617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6005661056611) 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, 8663188 + ... + 9330709.

It is an arithmetic number, because the mean of its divisors is an integer number (411745370985).

Almost surely, 2^{6005661056617} is an apocalyptic number.

It is an amenable number.

6005661056617 is a deficient number, since it is larger than the sum of its proper divisors (582264879143).

6005661056617 is a wasteful number, since it uses less digits than its factorization.

6005661056617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17994620.

The product of its (nonzero) digits is 1360800, while the sum is 49.

The spelling of 6005661056617 in words is "six trillion, five billion, six hundred sixty-one million, fifty-six thousand, six hundred seventeen".