6825823313 has 2 divisors, whose sum is σ = 6825823314. Its totient is φ = 6825823312.

The previous prime is 6825823267. The next prime is 6825823327. The reversal of 6825823313 is 3133285286.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5793036544 + 1032786769 = 76112^2 + 32137^2 .

It is a cyclic number.

It is not a de Polignac number, because 6825823313 - 2¹⁴ = 6825806929 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (6825823343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3412911656 + 3412911657.

It is an arithmetic number, because the mean of its divisors is an integer number (3412911657).

Almost surely, 2^6825823313 is an apocalyptic number.

It is an amenable number.

6825823313 is a deficient number, since it is larger than the sum of its proper divisors (1).

6825823313 is an equidigital number, since it uses as much as digits as its factorization.

6825823313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 207360, while the sum is 41.

The square root of 6825823313 is about 82618.5409759819. The cubic root of 6825823313 is about 1896.9316414951.

The spelling of 6825823313 in words is "six billion, eight hundred twenty-five million, eight hundred twenty-three thousand, three hundred thirteen".