409313381 has 2 divisors, whose sum is σ = 409313382. Its totient is φ = 409313380.

The previous prime is 409313353. The next prime is 409313383. The reversal of 409313381 is 183313904.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 376709281 + 32604100 = 19409^2 + 5710^2 .

It is a cyclic number.

It is not a de Polignac number, because 409313381 - 2¹⁰ = 409312357 is a prime.

It is a super-2 number, since 2×409313381² = 335074887731302322, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 409313383, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409313383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204656690 + 204656691.

It is an arithmetic number, because the mean of its divisors is an integer number (204656691).

Almost surely, 2^409313381 is an apocalyptic number.

It is an amenable number.

409313381 is a deficient number, since it is larger than the sum of its proper divisors (1).

409313381 is an equidigital number, since it uses as much as digits as its factorization.

409313381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 409313381 is about 20231.4947791803. The cubic root of 409313381 is about 742.4809480160.

The spelling of 409313381 in words is "four hundred nine million, three hundred thirteen thousand, three hundred eighty-one".