413005331 has 2 divisors, whose sum is σ = 413005332. Its totient is φ = 413005330.

The previous prime is 413005321. The next prime is 413005349. The reversal of 413005331 is 133500314.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413005331 is a prime.

It is a super-2 number, since 2×413005331² = 341146806868839122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (413005321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206502665 + 206502666.

It is an arithmetic number, because the mean of its divisors is an integer number (206502666).

Almost surely, 2^413005331 is an apocalyptic number.

413005331 is a deficient number, since it is larger than the sum of its proper divisors (1).

413005331 is an equidigital number, since it uses as much as digits as its factorization.

413005331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 413005331 is about 20322.5325931588. The cubic root of 413005331 is about 744.7066280289.

Adding to 413005331 its reverse (133500314), we get a palindrome (546505645).

The spelling of 413005331 in words is "four hundred thirteen million, five thousand, three hundred thirty-one".