6813509 has 2 divisors, whose sum is σ = 6813510. Its totient is φ = 6813508.

The previous prime is 6813491. The next prime is 6813511. The reversal of 6813509 is 9053186.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5536609 + 1276900 = 2353^2 + 1130^2 .

It is a cyclic number.

It is not a de Polignac number, because 6813509 - 2¹⁶ = 6747973 is a prime.

Together with 6813511, 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 (6813529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3406754 + 3406755.

It is an arithmetic number, because the mean of its divisors is an integer number (3406755).

Almost surely, 2^6813509 is an apocalyptic number.

It is an amenable number.

6813509 is a deficient number, since it is larger than the sum of its proper divisors (1).

6813509 is an equidigital number, since it uses as much as digits as its factorization.

6813509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 6813509 is about 2610.2699094155. The cubic root of 6813509 is about 189.5790217699.

The spelling of 6813509 in words is "six million, eight hundred thirteen thousand, five hundred nine".