413301505205 has 16 divisors (see below), whose sum is σ = 498337435200. Its totient is φ = 329059203840.

The previous prime is 413301505139. The next prime is 413301505297. The reversal of 413301505205 is 502505103314.

It is not a de Polignac number, because 413301505205 - 2²² = 413297310901 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1794086 + ... + 2011304.

It is an arithmetic number, because the mean of its divisors is an integer number (31146089700).

Almost surely, 2^413301505205 is an apocalyptic number.

It is an amenable number.

413301505205 is a deficient number, since it is larger than the sum of its proper divisors (85035929995).

413301505205 is a wasteful number, since it uses less digits than its factorization.

413301505205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219044.

The product of its (nonzero) digits is 9000, while the sum is 29.

Adding to 413301505205 its reverse (502505103314), we get a palindrome (915806608519).

The spelling of 413301505205 in words is "four hundred thirteen billion, three hundred one million, five hundred five thousand, two hundred five".