2564320757 has 2 divisors, whose sum is σ = 2564320758. Its totient is φ = 2564320756.

The previous prime is 2564320723. The next prime is 2564320763. The reversal of 2564320757 is 7570234652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1358217316 + 1206103441 = 36854^2 + 34729^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2564320757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2564320457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282160378 + 1282160379.

It is an arithmetic number, because the mean of its divisors is an integer number (1282160379).

Almost surely, 2^2564320757 is an apocalyptic number.

It is an amenable number.

2564320757 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564320757 is an equidigital number, since it uses as much as digits as its factorization.

2564320757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 352800, while the sum is 41.

The square root of 2564320757 is about 50639.1227905855. The cubic root of 2564320757 is about 1368.7499487723.

The spelling of 2564320757 in words is "two billion, five hundred sixty-four million, three hundred twenty thousand, seven hundred fifty-seven".