6577313 has 2 divisors, whose sum is σ = 6577314. Its totient is φ = 6577312.

The previous prime is 6577309. The next prime is 6577327. The reversal of 6577313 is 3137756.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6315169 + 262144 = 2513^2 + 512^2 .

It is a cyclic number.

It is not a de Polignac number, because 6577313 - 2² = 6577309 is a prime.

It is a super-2 number, since 2×6577313² = 86522092599938, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6577313.

It is not a weakly prime, because it can be changed into another prime (6577013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3288656 + 3288657.

It is an arithmetic number, because the mean of its divisors is an integer number (3288657).

Almost surely, 2^6577313 is an apocalyptic number.

It is an amenable number.

6577313 is a deficient number, since it is larger than the sum of its proper divisors (1).

6577313 is an equidigital number, since it uses as much as digits as its factorization.

6577313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13230, while the sum is 32.

The square root of 6577313 is about 2564.6272633660. The cubic root of 6577313 is about 187.3625707024.

The spelling of 6577313 in words is "six million, five hundred seventy-seven thousand, three hundred thirteen".