10018971617 has 2 divisors, whose sum is σ = 10018971618. Its totient is φ = 10018971616.

The previous prime is 10018971581. The next prime is 10018971671. The reversal of 10018971617 is 71617981001.

Together with next prime (10018971671) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9697522576 + 321449041 = 98476^2 + 17929^2 .

It is a cyclic number.

It is not a de Polignac number, because 10018971617 - 2³⁰ = 8945229793 is a prime.

It is not a weakly prime, because it can be changed into another prime (10018971517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5009485808 + 5009485809.

It is an arithmetic number, because the mean of its divisors is an integer number (5009485809).

Almost surely, 2^10018971617 is an apocalyptic number.

It is an amenable number.

10018971617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10018971617 is an equidigital number, since it uses as much as digits as its factorization.

10018971617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 41.

The spelling of 10018971617 in words is "ten billion, eighteen million, nine hundred seventy-one thousand, six hundred seventeen".