12872361617 has 2 divisors, whose sum is σ = 12872361618. Its totient is φ = 12872361616.

The previous prime is 12872361587. The next prime is 12872361637. The reversal of 12872361617 is 71616327821.

12872361617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11888849296 + 983512321 = 109036^2 + 31361^2 .

It is a cyclic number.

It is not a de Polignac number, because 12872361617 - 2⁶ = 12872361553 is a prime.

It is not a weakly prime, because it can be changed into another prime (12872361637) 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, 6436180808 + 6436180809.

It is an arithmetic number, because the mean of its divisors is an integer number (6436180809).

Almost surely, 2^12872361617 is an apocalyptic number.

It is an amenable number.

12872361617 is a deficient number, since it is larger than the sum of its proper divisors (1).

12872361617 is an equidigital number, since it uses as much as digits as its factorization.

12872361617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 169344, while the sum is 44.

The spelling of 12872361617 in words is "twelve billion, eight hundred seventy-two million, three hundred sixty-one thousand, six hundred seventeen".