10085705017 has 2 divisors, whose sum is σ = 10085705018. Its totient is φ = 10085705016.

The previous prime is 10085704991. The next prime is 10085705023. The reversal of 10085705017 is 71050758001.

10085705017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7292476816 + 2793228201 = 85396^2 + 52851^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10085705017 is a prime.

It is not a weakly prime, because it can be changed into another prime (10085700017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5042852508 + 5042852509.

It is an arithmetic number, because the mean of its divisors is an integer number (5042852509).

Almost surely, 2^10085705017 is an apocalyptic number.

It is an amenable number.

10085705017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10085705017 is an equidigital number, since it uses as much as digits as its factorization.

10085705017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9800, while the sum is 34.

The spelling of 10085705017 in words is "ten billion, eighty-five million, seven hundred five thousand, seventeen".