2564713777 has 2 divisors, whose sum is σ = 2564713778. Its totient is φ = 2564713776.

The previous prime is 2564713771. The next prime is 2564713783. The reversal of 2564713777 is 7773174652.

It is a balanced prime because it is at equal distance from previous prime (2564713771) and next prime (2564713783).

It can be written as a sum of positive squares in only one way, i.e., 2220388641 + 344325136 = 47121^2 + 18556^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564713777 - 2³ = 2564713769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2564713777.

It is not a weakly prime, because it can be changed into another prime (2564713771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282356888 + 1282356889.

It is an arithmetic number, because the mean of its divisors is an integer number (1282356889).

Almost surely, 2^2564713777 is an apocalyptic number.

It is an amenable number.

2564713777 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564713777 is an equidigital number, since it uses as much as digits as its factorization.

2564713777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728720, while the sum is 49.

The square root of 2564713777 is about 50643.0032383547. The cubic root of 2564713777 is about 1368.8198722433.

The spelling of 2564713777 in words is "two billion, five hundred sixty-four million, seven hundred thirteen thousand, seven hundred seventy-seven".