408310013 has 2 divisors, whose sum is σ = 408310014. Its totient is φ = 408310012.

The previous prime is 408309997. The next prime is 408310033. The reversal of 408310013 is 310013804.

It is a happy number.

It is an a-pointer prime, because the next prime (408310033) can be obtained adding 408310013 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208426969 + 199883044 = 14437^2 + 14138^2 .

It is a cyclic number.

It is not a de Polignac number, because 408310013 - 2⁴ = 408309997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (408310033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204155006 + 204155007.

It is an arithmetic number, because the mean of its divisors is an integer number (204155007).

Almost surely, 2^408310013 is an apocalyptic number.

It is an amenable number.

408310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

408310013 is an equidigital number, since it uses as much as digits as its factorization.

408310013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 408310013 is about 20206.6823847954. The cubic root of 408310013 is about 741.8737594703.

Adding to 408310013 its reverse (310013804), we get a palindrome (718323817).

The spelling of 408310013 in words is "four hundred eight million, three hundred ten thousand, thirteen".