2585161609 has 2 divisors, whose sum is σ = 2585161610. Its totient is φ = 2585161608.

The previous prime is 2585161589. The next prime is 2585161637. The reversal of 2585161609 is 9061615852.

2585161609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1350342009 + 1234819600 = 36747^2 + 35140^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585161609 - 2⁵ = 2585161577 is a prime.

It is not a weakly prime, because it can be changed into another prime (2585161009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292580804 + 1292580805.

It is an arithmetic number, because the mean of its divisors is an integer number (1292580805).

Almost surely, 2^2585161609 is an apocalyptic number.

It is an amenable number.

2585161609 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585161609 is an equidigital number, since it uses as much as digits as its factorization.

2585161609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 129600, while the sum is 43.

The square root of 2585161609 is about 50844.4845484739. The cubic root of 2585161609 is about 1372.4480018964.

The spelling of 2585161609 in words is "two billion, five hundred eighty-five million, one hundred sixty-one thousand, six hundred nine".