12767365190897 has 2 divisors, whose sum is σ = 12767365190898. Its totient is φ = 12767365190896.

The previous prime is 12767365190869. The next prime is 12767365190911. The reversal of 12767365190897 is 79809156376721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8567656827136 + 4199708363761 = 2927056^2 + 2049319^2 .

It is a cyclic number.

It is not a de Polignac number, because 12767365190897 - 2³² = 12763070223601 is a prime.

It is a super-2 number, since 2×12767365190897² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12767365190897.

It is not a weakly prime, because it can be changed into another prime (12767365196897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6383682595448 + 6383682595449.

It is an arithmetic number, because the mean of its divisors is an integer number (6383682595449).

Almost surely, 2^{12767365190897} is an apocalyptic number.

It is an amenable number.

12767365190897 is a deficient number, since it is larger than the sum of its proper divisors (1).

12767365190897 is an equidigital number, since it uses as much as digits as its factorization.

12767365190897 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240045120, while the sum is 71.

The spelling of 12767365190897 in words is "twelve trillion, seven hundred sixty-seven billion, three hundred sixty-five million, one hundred ninety thousand, eight hundred ninety-seven".