409531121 has 2 divisors, whose sum is σ = 409531122. Its totient is φ = 409531120.

The previous prime is 409531117. The next prime is 409531147. The reversal of 409531121 is 121135904.

It is an a-pointer prime, because the next prime (409531147) can be obtained adding 409531121 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 354192400 + 55338721 = 18820^2 + 7439^2 .

It is a cyclic number.

It is not a de Polignac number, because 409531121 - 2² = 409531117 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (409531321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204765560 + 204765561.

It is an arithmetic number, because the mean of its divisors is an integer number (204765561).

Almost surely, 2^409531121 is an apocalyptic number.

It is an amenable number.

409531121 is a deficient number, since it is larger than the sum of its proper divisors (1).

409531121 is an equidigital number, since it uses as much as digits as its factorization.

409531121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 409531121 is about 20236.8752775719. The cubic root of 409531121 is about 742.6125823989.

The spelling of 409531121 in words is "four hundred nine million, five hundred thirty-one thousand, one hundred twenty-one".