2585509 has 2 divisors, whose sum is σ = 2585510. Its totient is φ = 2585508.

The previous prime is 2585507. The next prime is 2585521. The reversal of 2585509 is 9055852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1368900 + 1216609 = 1170^2 + 1103^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585509 - 2¹ = 2585507 is a prime.

Together with 2585507, it forms a pair of twin primes.

2585509 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2585507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292754 + 1292755.

It is an arithmetic number, because the mean of its divisors is an integer number (1292755).

2^2585509 is an apocalyptic number.

It is an amenable number.

2585509 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585509 is an equidigital number, since it uses as much as digits as its factorization.

2585509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 34.

The square root of 2585509 is about 1607.9518027603. The cubic root of 2585509 is about 137.2509475130.

The spelling of 2585509 in words is "two million, five hundred eighty-five thousand, five hundred nine".