413505205113 has 96 divisors (see below), whose sum is σ = 756867428352. Its totient is φ = 197392809600.

The previous prime is 413505205067. The next prime is 413505205171. The reversal of 413505205113 is 311502505314.

It is not a de Polignac number, because 413505205113 - 2⁶ = 413505205049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (413505203113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4643578 + ... + 4731788.

It is an arithmetic number, because the mean of its divisors is an integer number (7884035712).

Almost surely, 2^413505205113 is an apocalyptic number.

It is an amenable number.

413505205113 is a deficient number, since it is larger than the sum of its proper divisors (343362223239).

413505205113 is a wasteful number, since it uses less digits than its factorization.

413505205113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88475 (or 88468 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 413505205113 in words is "four hundred thirteen billion, five hundred five million, two hundred five thousand, one hundred thirteen".