11564564617 has 2 divisors, whose sum is σ = 11564564618. Its totient is φ = 11564564616.

The previous prime is 11564564603. The next prime is 11564564651. The reversal of 11564564617 is 71646546511.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11562915961 + 1648656 = 107531^2 + 1284^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11564564617 is a prime.

It is not a weakly prime, because it can be changed into another prime (11564564677) 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, 5782282308 + 5782282309.

It is an arithmetic number, because the mean of its divisors is an integer number (5782282309).

Almost surely, 2^11564564617 is an apocalyptic number.

It is an amenable number.

11564564617 is a deficient number, since it is larger than the sum of its proper divisors (1).

11564564617 is an equidigital number, since it uses as much as digits as its factorization.

11564564617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 604800, while the sum is 46.

The spelling of 11564564617 in words is "eleven billion, five hundred sixty-four million, five hundred sixty-four thousand, six hundred seventeen".