409072613 has 2 divisors, whose sum is σ = 409072614. Its totient is φ = 409072612.

The previous prime is 409072607. The next prime is 409072661. The reversal of 409072613 is 316270904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 289782529 + 119290084 = 17023^2 + 10922^2 .

It is a cyclic number.

It is not a de Polignac number, because 409072613 - 2²⁶ = 341963749 is a prime.

It is equal to p_21794009 and since 409072613 and 21794009 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 409072613.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409072673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204536306 + 204536307.

It is an arithmetic number, because the mean of its divisors is an integer number (204536307).

Almost surely, 2^409072613 is an apocalyptic number.

It is an amenable number.

409072613 is a deficient number, since it is larger than the sum of its proper divisors (1).

409072613 is an equidigital number, since it uses as much as digits as its factorization.

409072613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 409072613 is about 20225.5435773677. The cubic root of 409072613 is about 742.3353377297.

The spelling of 409072613 in words is "four hundred nine million, seventy-two thousand, six hundred thirteen".