413580513 has 16 divisors (see below), whose sum is σ = 573465600. Its totient is φ = 264808320.

The previous prime is 413580491. The next prime is 413580533. The reversal of 413580513 is 315085314.

It is not a de Polignac number, because 413580513 - 2⁶ = 413580449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413580533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4173 + ... + 29061.

It is an arithmetic number, because the mean of its divisors is an integer number (35841600).

Almost surely, 2^413580513 is an apocalyptic number.

It is an amenable number.

413580513 is a deficient number, since it is larger than the sum of its proper divisors (159885087).

413580513 is a wasteful number, since it uses less digits than its factorization.

413580513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25112.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 413580513 is about 20336.6790061701. The cubic root of 413580513 is about 745.0521789798.

It can be divided in two parts, 4135 and 80513, that added together give a palindrome (84648).

The spelling of 413580513 in words is "four hundred thirteen million, five hundred eighty thousand, five hundred thirteen".