12583646561 has 2 divisors, whose sum is σ = 12583646562. Its totient is φ = 12583646560.

The previous prime is 12583646557. The next prime is 12583646617. The reversal of 12583646561 is 16564638521.

12583646561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6998326336 + 5585320225 = 83656^2 + 74735^2 .

It is a cyclic number.

It is not a de Polignac number, because 12583646561 - 2² = 12583646557 is a prime.

It is not a weakly prime, because it can be changed into another prime (12583646501) 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, 6291823280 + 6291823281.

It is an arithmetic number, because the mean of its divisors is an integer number (6291823281).

Almost surely, 2^12583646561 is an apocalyptic number.

It is an amenable number.

12583646561 is a deficient number, since it is larger than the sum of its proper divisors (1).

12583646561 is an equidigital number, since it uses as much as digits as its factorization.

12583646561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1036800, while the sum is 47.

The spelling of 12583646561 in words is "twelve billion, five hundred eighty-three million, six hundred forty-six thousand, five hundred sixty-one".