10402116617 has 2 divisors, whose sum is σ = 10402116618. Its totient is φ = 10402116616.

The previous prime is 10402116607. The next prime is 10402116707. The reversal of 10402116617 is 71661120401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8096580361 + 2305536256 = 89981^2 + 48016^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10402116617 is a prime.

It is a super-2 number, since 2×10402116617² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10402116617.

It is not a weakly prime, because it can be changed into another prime (10402116607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5201058308 + 5201058309.

It is an arithmetic number, because the mean of its divisors is an integer number (5201058309).

Almost surely, 2^10402116617 is an apocalyptic number.

It is an amenable number.

10402116617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10402116617 is an equidigital number, since it uses as much as digits as its factorization.

10402116617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 10402116617 in words is "ten billion, four hundred two million, one hundred sixteen thousand, six hundred seventeen".