6825313 has 24 divisors (see below), whose sum is σ = 8399520. Its totient is φ = 5483520.

The previous prime is 6825307. The next prime is 6825323. The reversal of 6825313 is 3135286.

It is not a de Polignac number, because 6825313 - 2⁹ = 6824801 is a prime.

Its product of digits (4320) is a multiple of the sum of its prime divisors (160).

It is not an unprimeable number, because it can be changed into a prime (6825323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60345 + ... + 60457.

It is an arithmetic number, because the mean of its divisors is an integer number (349980).

Almost surely, 2^6825313 is an apocalyptic number.

It is an amenable number.

6825313 is a deficient number, since it is larger than the sum of its proper divisors (1574207).

6825313 is a wasteful number, since it uses less digits than its factorization.

6825313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 6825313 is about 2612.5299998278. The cubic root of 6825313 is about 189.6884367442.

It can be divided in two parts, 682 and 5313, that added together give a palindrome (5995).

The spelling of 6825313 in words is "six million, eight hundred twenty-five thousand, three hundred thirteen".