2565017009 has 2 divisors, whose sum is σ = 2565017010. Its totient is φ = 2565017008.

The previous prime is 2565016997. The next prime is 2565017011. The reversal of 2565017009 is 9007105652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2512816384 + 52200625 = 50128^2 + 7225^2 .

It is a cyclic number.

It is not a de Polignac number, because 2565017009 - 2¹² = 2565012913 is a prime.

Together with 2565017011, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2565017009.

It is not a weakly prime, because it can be changed into another prime (2565017029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282508504 + 1282508505.

It is an arithmetic number, because the mean of its divisors is an integer number (1282508505).

Almost surely, 2^2565017009 is an apocalyptic number.

It is an amenable number.

2565017009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2565017009 is an equidigital number, since it uses as much as digits as its factorization.

2565017009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 2565017009 is about 50645.9969691584. The cubic root of 2565017009 is about 1368.8738163564.

The spelling of 2565017009 in words is "two billion, five hundred sixty-five million, seventeen thousand, nine".