409516313 has 4 divisors (see below), whose sum is σ = 410109648. Its totient is φ = 408922980.

The previous prime is 409516309. The next prime is 409516343. The reversal of 409516313 is 313615904.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 409516313 - 2² = 409516309 is a prime.

It is a super-2 number, since 2×409516313² = 335407221226227938, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 409516313.

It is not an unprimeable number, because it can be changed into a prime (409516343) 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 in 3 ways as a sum of consecutive naturals, for example, 295631 + ... + 297012.

It is an arithmetic number, because the mean of its divisors is an integer number (102527412).

Almost surely, 2^409516313 is an apocalyptic number.

It is an amenable number.

409516313 is a deficient number, since it is larger than the sum of its proper divisors (593335).

409516313 is an equidigital number, since it uses as much as digits as its factorization.

409516313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593334.

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 409516313 is about 20236.5094075041. The cubic root of 409516313 is about 742.6036317241.

The spelling of 409516313 in words is "four hundred nine million, five hundred sixteen thousand, three hundred thirteen".