11565600017 has 2 divisors, whose sum is σ = 11565600018. Its totient is φ = 11565600016.

The previous prime is 11565599989. The next prime is 11565600019. The reversal of 11565600017 is 71000656511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11559690256 + 5909761 = 107516^2 + 2431^2 .

It is an emirp because it is prime and its reverse (71000656511) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11565600017 - 2⁸ = 11565599761 is a prime.

Together with 11565600019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11565600019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5782800008 + 5782800009.

It is an arithmetic number, because the mean of its divisors is an integer number (5782800009).

Almost surely, 2^11565600017 is an apocalyptic number.

It is an amenable number.

11565600017 is a deficient number, since it is larger than the sum of its proper divisors (1).

11565600017 is an equidigital number, since it uses as much as digits as its factorization.

11565600017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 32.

The spelling of 11565600017 in words is "eleven billion, five hundred sixty-five million, six hundred thousand, seventeen".