413141009 has 2 divisors, whose sum is σ = 413141010. Its totient is φ = 413141008.

The previous prime is 413140993. The next prime is 413141023. The reversal of 413141009 is 900141314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 268468225 + 144672784 = 16385^2 + 12028^2 .

It is a cyclic number.

It is not a de Polignac number, because 413141009 - 2⁴ = 413140993 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (413143009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206570504 + 206570505.

It is an arithmetic number, because the mean of its divisors is an integer number (206570505).

Almost surely, 2^413141009 is an apocalyptic number.

It is an amenable number.

413141009 is a deficient number, since it is larger than the sum of its proper divisors (1).

413141009 is an equidigital number, since it uses as much as digits as its factorization.

413141009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 413141009 is about 20325.8704364659. The cubic root of 413141009 is about 744.7881679316.

The spelling of 413141009 in words is "four hundred thirteen million, one hundred forty-one thousand, nine".