12513214516769 has 2 divisors, whose sum is σ = 12513214516770. Its totient is φ = 12513214516768.

The previous prime is 12513214516757. The next prime is 12513214516807. The reversal of 12513214516769 is 96761541231521.

12513214516769 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., 11754529966144 + 758684550625 = 3428488^2 + 871025^2 .

It is a cyclic number.

It is not a de Polignac number, because 12513214516769 - 2¹⁶ = 12513214451233 is a prime.

It is a super-2 number, since 2×12513214516769² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12513214516769.

It is not a weakly prime, because it can be changed into another prime (12513214518769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6256607258384 + 6256607258385.

It is an arithmetic number, because the mean of its divisors is an integer number (6256607258385).

Almost surely, 2^{12513214516769} is an apocalyptic number.

It is an amenable number.

12513214516769 is a deficient number, since it is larger than the sum of its proper divisors (1).

12513214516769 is an equidigital number, since it uses as much as digits as its factorization.

12513214516769 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2721600, while the sum is 53.

The spelling of 12513214516769 in words is "twelve trillion, five hundred thirteen billion, two hundred fourteen million, five hundred sixteen thousand, seven hundred sixty-nine".