12585378917 has 2 divisors, whose sum is σ = 12585378918. Its totient is φ = 12585378916.

The previous prime is 12585378899. The next prime is 12585378929. The reversal of 12585378917 is 71987358521.

12585378917 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., 11434880356 + 1150498561 = 106934^2 + 33919^2 .

It is a cyclic number.

It is not a de Polignac number, because 12585378917 - 2¹² = 12585374821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12585378017) 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, 6292689458 + 6292689459.

It is an arithmetic number, because the mean of its divisors is an integer number (6292689459).

Almost surely, 2^12585378917 is an apocalyptic number.

It is an amenable number.

12585378917 is a deficient number, since it is larger than the sum of its proper divisors (1).

12585378917 is an equidigital number, since it uses as much as digits as its factorization.

12585378917 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4233600, while the sum is 56.

The spelling of 12585378917 in words is "twelve billion, five hundred eighty-five million, three hundred seventy-eight thousand, nine hundred seventeen".