413312209 has 2 divisors, whose sum is σ = 413312210. Its totient is φ = 413312208.

The previous prime is 413312201. The next prime is 413312261. The reversal of 413312209 is 902213314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 360430225 + 52881984 = 18985^2 + 7272^2 .

It is a cyclic number.

It is not a de Polignac number, because 413312209 - 2³ = 413312201 is a prime.

It is not a weakly prime, because it can be changed into another prime (413312201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206656104 + 206656105.

It is an arithmetic number, because the mean of its divisors is an integer number (206656105).

Almost surely, 2^413312209 is an apocalyptic number.

It is an amenable number.

413312209 is a deficient number, since it is larger than the sum of its proper divisors (1).

413312209 is an equidigital number, since it uses as much as digits as its factorization.

413312209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 413312209 is about 20330.0813820309. The cubic root of 413312209 is about 744.8910304113.

The spelling of 413312209 in words is "four hundred thirteen million, three hundred twelve thousand, two hundred nine".