409559008065 has 16 divisors (see below), whose sum is σ = 655416050688. Its totient is φ = 218390925056.

The previous prime is 409559008049. The next prime is 409559008099. The reversal of 409559008065 is 560800955904.

It is a cyclic number.

It is not a de Polignac number, because 409559008065 - 2⁴ = 409559008049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 409559007999 and 409559008017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2450529 + ... + 2612318.

It is an arithmetic number, because the mean of its divisors is an integer number (40963503168).

Almost surely, 2^409559008065 is an apocalyptic number.

It is an amenable number.

409559008065 is a deficient number, since it is larger than the sum of its proper divisors (245857042623).

409559008065 is a wasteful number, since it uses less digits than its factorization.

409559008065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068248.

The product of its (nonzero) digits is 1944000, while the sum is 51.

The spelling of 409559008065 in words is "four hundred nine billion, five hundred fifty-nine million, eight thousand, sixty-five".