2565264409 has 2 divisors, whose sum is σ = 2565264410. Its totient is φ = 2565264408.

The previous prime is 2565264367. The next prime is 2565264413. The reversal of 2565264409 is 9044625652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1814504409 + 750760000 = 42597^2 + 27400^2 .

It is a cyclic number.

It is not a de Polignac number, because 2565264409 - 2¹¹ = 2565262361 is a prime.

It is not a weakly prime, because it can be changed into another prime (2565264469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282632204 + 1282632205.

It is an arithmetic number, because the mean of its divisors is an integer number (1282632205).

Almost surely, 2^2565264409 is an apocalyptic number.

It is an amenable number.

2565264409 is a deficient number, since it is larger than the sum of its proper divisors (1).

2565264409 is an equidigital number, since it uses as much as digits as its factorization.

2565264409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 43.

The square root of 2565264409 is about 50648.4393540413. The cubic root of 2565264409 is about 1368.9178249658.

The spelling of 2565264409 in words is "two billion, five hundred sixty-five million, two hundred sixty-four thousand, four hundred nine".