6456509 has 2 divisors, whose sum is σ = 6456510. Its totient is φ = 6456508.

The previous prime is 6456479. The next prime is 6456511. The reversal of 6456509 is 9056546.

It is a happy number.

6456509 is digitally balanced in base 3, 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., 3912484 + 2544025 = 1978^2 + 1595^2 .

It is a cyclic number.

It is not a de Polignac number, because 6456509 - 2⁸ = 6456253 is a prime.

Together with 6456511, 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 (6456529) 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, 3228254 + 3228255.

It is an arithmetic number, because the mean of its divisors is an integer number (3228255).

Almost surely, 2^6456509 is an apocalyptic number.

It is an amenable number.

6456509 is a deficient number, since it is larger than the sum of its proper divisors (1).

6456509 is an equidigital number, since it uses as much as digits as its factorization.

6456509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 6456509 is about 2540.9661548317. The cubic root of 6456509 is about 186.2083936310.

The spelling of 6456509 in words is "six million, four hundred fifty-six thousand, five hundred nine".