12671727872257 has 2 divisors, whose sum is σ = 12671727872258. Its totient is φ = 12671727872256.

The previous prime is 12671727872203. The next prime is 12671727872303. The reversal of 12671727872257 is 75227872717621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8906261360896 + 3765466511361 = 2984336^2 + 1940481^2 .

It is a cyclic number.

It is not a de Polignac number, because 12671727872257 - 2⁷ = 12671727872129 is a prime.

It is not a weakly prime, because it can be changed into another prime (12671727872957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6335863936128 + 6335863936129.

It is an arithmetic number, because the mean of its divisors is an integer number (6335863936129).

Almost surely, 2^{12671727872257} is an apocalyptic number.

It is an amenable number.

12671727872257 is a deficient number, since it is larger than the sum of its proper divisors (1).

12671727872257 is an equidigital number, since it uses as much as digits as its factorization.

12671727872257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64538880, while the sum is 64.

The spelling of 12671727872257 in words is "twelve trillion, six hundred seventy-one billion, seven hundred twenty-seven million, eight hundred seventy-two thousand, two hundred fifty-seven".