225585509 has 2 divisors, whose sum is σ = 225585510. Its totient is φ = 225585508.

The previous prime is 225585491. The next prime is 225585511. The reversal of 225585509 is 905585522.

225585509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212284900 + 13300609 = 14570^2 + 3647^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-225585509 is a prime.

Together with 225585511, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225582509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112792754 + 112792755.

It is an arithmetic number, because the mean of its divisors is an integer number (112792755).

Almost surely, 2^225585509 is an apocalyptic number.

It is an amenable number.

225585509 is a deficient number, since it is larger than the sum of its proper divisors (1).

225585509 is an equidigital number, since it uses as much as digits as its factorization.

225585509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180000, while the sum is 41.

The square root of 225585509 is about 15019.5042860941. The cubic root of 225585509 is about 608.7473253976.

The spelling of 225585509 in words is "two hundred twenty-five million, five hundred eighty-five thousand, five hundred nine".