2086617600017 has 2 divisors, whose sum is σ = 2086617600018. Its totient is φ = 2086617600016.

The previous prime is 2086617599977. The next prime is 2086617600043. The reversal of 2086617600017 is 7100067166802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1531676036881 + 554941563136 = 1237609^2 + 744944^2 .

It is a cyclic number.

It is not a de Polignac number, because 2086617600017 - 2¹⁰ = 2086617598993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2086617608017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1043308800008 + 1043308800009.

It is an arithmetic number, because the mean of its divisors is an integer number (1043308800009).

Almost surely, 2^{2086617600017} is an apocalyptic number.

It is an amenable number.

2086617600017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2086617600017 is an equidigital number, since it uses as much as digits as its factorization.

2086617600017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 2086617600017 in words is "two trillion, eighty-six billion, six hundred seventeen million, six hundred thousand, seventeen".