12583421313517 has 2 divisors, whose sum is σ = 12583421313518. Its totient is φ = 12583421313516.

The previous prime is 12583421313499. The next prime is 12583421313539. The reversal of 12583421313517 is 71531312438521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10203130846756 + 2380290466761 = 3194234^2 + 1542819^2 .

It is a cyclic number.

It is not a de Polignac number, because 12583421313517 - 2⁷ = 12583421313389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12583421313917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6291710656758 + 6291710656759.

It is an arithmetic number, because the mean of its divisors is an integer number (6291710656759).

Almost surely, 2^{12583421313517} is an apocalyptic number.

It is an amenable number.

12583421313517 is a deficient number, since it is larger than the sum of its proper divisors (1).

12583421313517 is an equidigital number, since it uses as much as digits as its factorization.

12583421313517 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 12583421313517 in words is "twelve trillion, five hundred eighty-three billion, four hundred twenty-one million, three hundred thirteen thousand, five hundred seventeen".