409628160509 has 2 divisors, whose sum is σ = 409628160510. Its totient is φ = 409628160508.

The previous prime is 409628160479. The next prime is 409628160523. The reversal of 409628160509 is 905061826904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 409628160484 + 25 = 640022^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 409628160509 - 2¹⁶ = 409628094973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409628160589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204814080254 + 204814080255.

It is an arithmetic number, because the mean of its divisors is an integer number (204814080255).

Almost surely, 2^409628160509 is an apocalyptic number.

It is an amenable number.

409628160509 is a deficient number, since it is larger than the sum of its proper divisors (1).

409628160509 is an equidigital number, since it uses as much as digits as its factorization.

409628160509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 933120, while the sum is 50.

The spelling of 409628160509 in words is "four hundred nine billion, six hundred twenty-eight million, one hundred sixty thousand, five hundred nine".