409313213 has 2 divisors, whose sum is σ = 409313214. Its totient is φ = 409313212.

The previous prime is 409313207. The next prime is 409313227. The reversal of 409313213 is 312313904.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 348270244 + 61042969 = 18662^2 + 7813^2 .

It is a cyclic number.

It is not a de Polignac number, because 409313213 - 2⁸ = 409312957 is a prime.

It is a Chen prime.

It is equal to p_21806036 and since 409313213 and 21806036 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409313293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204656606 + 204656607.

It is an arithmetic number, because the mean of its divisors is an integer number (204656607).

Almost surely, 2^409313213 is an apocalyptic number.

It is an amenable number.

409313213 is a deficient number, since it is larger than the sum of its proper divisors (1).

409313213 is an equidigital number, since it uses as much as digits as its factorization.

409313213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 409313213 is about 20231.4906272375. The cubic root of 409313213 is about 742.4808464339.

It can be divided in two parts, 40931 and 3213, that added together give a palindrome (44144).

The spelling of 409313213 in words is "four hundred nine million, three hundred thirteen thousand, two hundred thirteen".