413004013 has 8 divisors (see below), whose sum is σ = 419875520. Its totient is φ = 406153440.

The previous prime is 413003989. The next prime is 413004047. The reversal of 413004013 is 310400314.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413004013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413004073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37393 + ... + 47161.

It is an arithmetic number, because the mean of its divisors is an integer number (52484440).

Almost surely, 2^413004013 is an apocalyptic number.

It is an amenable number.

413004013 is a deficient number, since it is larger than the sum of its proper divisors (6871507).

413004013 is an equidigital number, since it uses as much as digits as its factorization.

413004013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10467.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 413004013 is about 20322.5001660721. The cubic root of 413004013 is about 744.7058358484.

Adding to 413004013 its reverse (310400314), we get a palindrome (723404327).

The spelling of 413004013 in words is "four hundred thirteen million, four thousand, thirteen".