8661008017 has 2 divisors, whose sum is σ = 8661008018. Its totient is φ = 8661008016.

The previous prime is 8661007987. The next prime is 8661008039. The reversal of 8661008017 is 7108001668.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6818795776 + 1842212241 = 82576^2 + 42921^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8661008017 is a prime.

It is not a weakly prime, because it can be changed into another prime (8661008047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4330504008 + 4330504009.

It is an arithmetic number, because the mean of its divisors is an integer number (4330504009).

Almost surely, 2^8661008017 is an apocalyptic number.

It is an amenable number.

8661008017 is a deficient number, since it is larger than the sum of its proper divisors (1).

8661008017 is an equidigital number, since it uses as much as digits as its factorization.

8661008017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 8661008017 is about 93064.5368386906. The cubic root of 8661008017 is about 2053.6329011725.

The spelling of 8661008017 in words is "eight billion, six hundred sixty-one million, eight thousand, seventeen".