2585266289 has 2 divisors, whose sum is σ = 2585266290. Its totient is φ = 2585266288.

The previous prime is 2585266283. The next prime is 2585266337. The reversal of 2585266289 is 9826625852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1829016289 + 756250000 = 42767^2 + 27500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2585266289 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2585266289.

It is not a weakly prime, because it can be changed into another prime (2585266283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292633144 + 1292633145.

It is an arithmetic number, because the mean of its divisors is an integer number (1292633145).

Almost surely, 2^2585266289 is an apocalyptic number.

It is an amenable number.

2585266289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585266289 is an equidigital number, since it uses as much as digits as its factorization.

2585266289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4147200, while the sum is 53.

The square root of 2585266289 is about 50845.5139515769. The cubic root of 2585266289 is about 1372.4665263241.

The spelling of 2585266289 in words is "two billion, five hundred eighty-five million, two hundred sixty-six thousand, two hundred eighty-nine".