409159001 has 2 divisors, whose sum is σ = 409159002. Its totient is φ = 409159000.

The previous prime is 409158991. The next prime is 409159019. The reversal of 409159001 is 100951904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 407070976 + 2088025 = 20176^2 + 1445^2 .

It is a cyclic number.

It is not a de Polignac number, because 409159001 - 2¹⁸ = 408896857 is a prime.

It is a super-2 number, since 2×409159001² = 334822176198636002, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (409159021) 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, 204579500 + 204579501.

It is an arithmetic number, because the mean of its divisors is an integer number (204579501).

Almost surely, 2^409159001 is an apocalyptic number.

It is an amenable number.

409159001 is a deficient number, since it is larger than the sum of its proper divisors (1).

409159001 is an equidigital number, since it uses as much as digits as its factorization.

409159001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 409159001 is about 20227.6790809030. The cubic root of 409159001 is about 742.3875895382.

The spelling of 409159001 in words is "four hundred nine million, one hundred fifty-nine thousand, one".