2005179965617 has 2 divisors, whose sum is σ = 2005179965618. Its totient is φ = 2005179965616.

The previous prime is 2005179965603. The next prime is 2005179965771. The reversal of 2005179965617 is 7165699715002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1640510118976 + 364669846641 = 1280824^2 + 603879^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005179965617 - 2¹¹ = 2005179963569 is a prime.

It is not a weakly prime, because it can be changed into another prime (2005159965617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002589982808 + 1002589982809.

It is an arithmetic number, because the mean of its divisors is an integer number (1002589982809).

Almost surely, 2^{2005179965617} is an apocalyptic number.

It is an amenable number.

2005179965617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005179965617 is an equidigital number, since it uses as much as digits as its factorization.

2005179965617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7144200, while the sum is 58.

The spelling of 2005179965617 in words is "two trillion, five billion, one hundred seventy-nine million, nine hundred sixty-five thousand, six hundred seventeen".