413131409 has 2 divisors, whose sum is σ = 413131410. Its totient is φ = 413131408.

The previous prime is 413131403. The next prime is 413131417. The reversal of 413131409 is 904131314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 398880784 + 14250625 = 19972^2 + 3775^2 .

It is a cyclic number.

It is not a de Polignac number, because 413131409 - 2¹² = 413127313 is a prime.

It is a super-2 number, since 2×413131409² = 341355122204650562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (413131403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206565704 + 206565705.

It is an arithmetic number, because the mean of its divisors is an integer number (206565705).

Almost surely, 2^413131409 is an apocalyptic number.

It is an amenable number.

413131409 is a deficient number, since it is larger than the sum of its proper divisors (1).

413131409 is an equidigital number, since it uses as much as digits as its factorization.

413131409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 413131409 is about 20325.6342828459. The cubic root of 413131409 is about 744.7823991008.

The spelling of 413131409 in words is "four hundred thirteen million, one hundred thirty-one thousand, four hundred nine".