413405013 has 24 divisors (see below), whose sum is σ = 669083328. Its totient is φ = 225958656.

The previous prime is 413404987. The next prime is 413405029. The reversal of 413405013 is 310504314.

It is not a de Polignac number, because 413405013 - 2⁹ = 413404501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413405513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57756 + ... + 64517.

It is an arithmetic number, because the mean of its divisors is an integer number (27878472).

Almost surely, 2^413405013 is an apocalyptic number.

It is an amenable number.

413405013 is a deficient number, since it is larger than the sum of its proper divisors (255678315).

413405013 is a wasteful number, since it uses less digits than its factorization.

413405013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122313 (or 122306 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 413405013 is about 20332.3636845301. The cubic root of 413405013 is about 744.9467781748.

Adding to 413405013 its reverse (310504314), we get a palindrome (723909327).

The spelling of 413405013 in words is "four hundred thirteen million, four hundred five thousand, thirteen".