12817059410777 has 2 divisors, whose sum is σ = 12817059410778. Its totient is φ = 12817059410776.

The previous prime is 12817059410719. The next prime is 12817059410821. The reversal of 12817059410777 is 77701495071821.

12817059410777 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., 8512745710921 + 4304313699856 = 2917661^2 + 2074684^2 .

It is a cyclic number.

It is not a de Polignac number, because 12817059410777 - 2⁶ = 12817059410713 is a prime.

It is not a weakly prime, because it can be changed into another prime (12817059410717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6408529705388 + 6408529705389.

It is an arithmetic number, because the mean of its divisors is an integer number (6408529705389).

Almost surely, 2^{12817059410777} is an apocalyptic number.

It is an amenable number.

12817059410777 is a deficient number, since it is larger than the sum of its proper divisors (1).

12817059410777 is an equidigital number, since it uses as much as digits as its factorization.

12817059410777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6914880, while the sum is 59.

The spelling of 12817059410777 in words is "twelve trillion, eight hundred seventeen billion, fifty-nine million, four hundred ten thousand, seven hundred seventy-seven".