413561009 has 2 divisors, whose sum is σ = 413561010. Its totient is φ = 413561008.

The previous prime is 413560993. The next prime is 413561041. The reversal of 413561009 is 900165314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 409171984 + 4389025 = 20228^2 + 2095^2 .

It is a cyclic number.

It is not a de Polignac number, because 413561009 - 2⁴ = 413560993 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (413561069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206780504 + 206780505.

It is an arithmetic number, because the mean of its divisors is an integer number (206780505).

Almost surely, 2^413561009 is an apocalyptic number.

It is an amenable number.

413561009 is a deficient number, since it is larger than the sum of its proper divisors (1).

413561009 is an equidigital number, since it uses as much as digits as its factorization.

413561009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 413561009 is about 20336.1994728612. The cubic root of 413561009 is about 745.0404668498.

The spelling of 413561009 in words is "four hundred thirteen million, five hundred sixty-one thousand, nine".