812777057 has 2 divisors, whose sum is σ = 812777058. Its totient is φ = 812777056.

The previous prime is 812777027. The next prime is 812777081. The reversal of 812777057 is 750777218.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 696115456 + 116661601 = 26384^2 + 10801^2 .

It is a cyclic number.

It is not a de Polignac number, because 812777057 - 2⁸ = 812776801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 812776999 and 812777017.

It is not a weakly prime, because it can be changed into another prime (812777027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406388528 + 406388529.

It is an arithmetic number, because the mean of its divisors is an integer number (406388529).

Almost surely, 2^812777057 is an apocalyptic number.

It is an amenable number.

812777057 is a deficient number, since it is larger than the sum of its proper divisors (1).

812777057 is an equidigital number, since it uses as much as digits as its factorization.

812777057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192080, while the sum is 44.

The square root of 812777057 is about 28509.2451145238. The cubic root of 812777057 is about 933.2338405708.

It can be divided in two parts, 8127 and 77057, that added together give a cube (85184 = 44³).

The spelling of 812777057 in words is "eight hundred twelve million, seven hundred seventy-seven thousand, fifty-seven".