12982507591817 has 2 divisors, whose sum is σ = 12982507591818. Its totient is φ = 12982507591816.

The previous prime is 12982507591793. The next prime is 12982507591939. The reversal of 12982507591817 is 71819570528921.

12982507591817 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., 12802484739136 + 180022852681 = 3578056^2 + 424291^2 .

It is a cyclic number.

It is not a de Polignac number, because 12982507591817 - 2²⁶ = 12982440482953 is a prime.

It is a super-2 number, since 2×12982507591817² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12982507521817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6491253795908 + 6491253795909.

It is an arithmetic number, because the mean of its divisors is an integer number (6491253795909).

Almost surely, 2^{12982507591817} is an apocalyptic number.

It is an amenable number.

12982507591817 is a deficient number, since it is larger than the sum of its proper divisors (1).

12982507591817 is an equidigital number, since it uses as much as digits as its factorization.

12982507591817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25401600, while the sum is 65.

The spelling of 12982507591817 in words is "twelve trillion, nine hundred eighty-two billion, five hundred seven million, five hundred ninety-one thousand, eight hundred seventeen".