13641035760017 has 2 divisors, whose sum is σ = 13641035760018. Its totient is φ = 13641035760016.

The previous prime is 13641035759999. The next prime is 13641035760041. The reversal of 13641035760017 is 71006753014631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9318861287761 + 4322174472256 = 3052681^2 + 2078984^2 .

It is a cyclic number.

It is not a de Polignac number, because 13641035760017 - 2²² = 13641031565713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13641035760017.

It is not a weakly prime, because it can be changed into another prime (13641035760617) 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, 6820517880008 + 6820517880009.

It is an arithmetic number, because the mean of its divisors is an integer number (6820517880009).

Almost surely, 2^{13641035760017} is an apocalyptic number.

It is an amenable number.

13641035760017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13641035760017 is an equidigital number, since it uses as much as digits as its factorization.

13641035760017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 317520, while the sum is 44.

Adding to 13641035760017 its reverse (71006753014631), we get a palindrome (84647788774648).

The spelling of 13641035760017 in words is "thirteen trillion, six hundred forty-one billion, thirty-five million, seven hundred sixty thousand, seventeen".