12613565005577 has 2 divisors, whose sum is σ = 12613565005578. Its totient is φ = 12613565005576.

The previous prime is 12613565005571. The next prime is 12613565005747. The reversal of 12613565005577 is 77550056531621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10234138439056 + 2379426566521 = 3199084^2 + 1542539^2 .

It is an emirp because it is prime and its reverse (77550056531621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12613565005577 - 2³⁶ = 12544845528841 is a prime.

It is a super-2 number, since 2×12613565005577² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12613565005571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6306782502788 + 6306782502789.

It is an arithmetic number, because the mean of its divisors is an integer number (6306782502789).

Almost surely, 2^{12613565005577} is an apocalyptic number.

It is an amenable number.

12613565005577 is a deficient number, since it is larger than the sum of its proper divisors (1).

12613565005577 is an equidigital number, since it uses as much as digits as its factorization.

12613565005577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6615000, while the sum is 53.

The spelling of 12613565005577 in words is "twelve trillion, six hundred thirteen billion, five hundred sixty-five million, five thousand, five hundred seventy-seven".