413032113 has 18 divisors (see below), whose sum is σ = 646026966. Its totient is φ = 254172672.

The previous prime is 413032097. The next prime is 413032117. The reversal of 413032113 is 311230314.

It can be written as a sum of positive squares in 3 ways, for example, as 17539344 + 395492769 = 4188^2 + 19887^2 .

It is not a de Polignac number, because 413032113 - 2⁴ = 413032097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (413032117) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 134256 + ... + 137297.

It is an arithmetic number, because the mean of its divisors is an integer number (35890387).

Almost surely, 2^413032113 is an apocalyptic number.

It is an amenable number.

413032113 is a deficient number, since it is larger than the sum of its proper divisors (232994853).

413032113 is a wasteful number, since it uses less digits than its factorization.

413032113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271585 (or 271569 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 413032113 is about 20323.1915062571. The cubic root of 413032113 is about 744.7227249170.

Adding to 413032113 its reverse (311230314), we get a palindrome (724262427).

The spelling of 413032113 in words is "four hundred thirteen million, thirty-two thousand, one hundred thirteen".