413413604505 has 96 divisors (see below), whose sum is σ = 802415427840. Its totient is φ = 195203520000.

The previous prime is 413413604503. The next prime is 413413604543. The reversal of 413413604505 is 505406314314.

413413604505 is a `hidden beast` number, since 4 + 1 + 3 + 41 + 3 + 604 + 5 + 0 + 5 = 666.

It is not a de Polignac number, because 413413604505 - 2¹ = 413413604503 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413413604505.

It is not an unprimeable number, because it can be changed into a prime (413413604503) 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, 2981916 + ... + 3117474.

It is an arithmetic number, because the mean of its divisors is an integer number (8358494040).

Almost surely, 2^413413604505 is an apocalyptic number.

413413604505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413413604505 is a deficient number, since it is larger than the sum of its proper divisors (389001823335).

413413604505 is a wasteful number, since it uses less digits than its factorization.

413413604505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135743 (or 135740 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 413413604505 its reverse (505406314314), we get a palindrome (918819918819).

Subtracting 413413604505 from its reverse (505406314314), we obtain a square (91992709809 = 303303²).

The spelling of 413413604505 in words is "four hundred thirteen billion, four hundred thirteen million, six hundred four thousand, five hundred five".