413013 has 8 divisors (see below), whose sum is σ = 568576. Its totient is φ = 266400.

The previous prime is 413009. The next prime is 413027. The reversal of 413013 is 310314.

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

It is not a de Polignac number, because 413013 - 2² = 413009 is a prime.

It is a Duffinian number.

413013 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 413013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2128 + ... + 2313.

It is an arithmetic number, because the mean of its divisors is an integer number (71072).

2⁴¹³⁰¹³ is an apocalyptic number.

It is an amenable number.

413013 is a deficient number, since it is larger than the sum of its proper divisors (155563).

413013 is a wasteful number, since it uses less digits than its factorization.

413013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 413013 is about 642.6608748010. The cubic root of 413013 is about 74.4711237428.

Adding to 413013 its reverse (310314), we get a palindrome (723327).

The spelling of 413013 in words is "four hundred thirteen thousand, thirteen".