413513 has 4 divisors (see below), whose sum is σ = 415380. Its totient is φ = 411648.

The previous prime is 413477. The next prime is 413521. The reversal of 413513 is 315314.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 405769 + 7744 = 637^2 + 88^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413491 and 413500.

It is not an unprimeable number, because it can be changed into a prime (413533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 548 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (103845).

2⁴¹³⁵¹³ is an apocalyptic number.

It is an amenable number.

413513 is a deficient number, since it is larger than the sum of its proper divisors (1867).

413513 is a wasteful number, since it uses less digits than its factorization.

413513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866.

The product of its digits is 180, while the sum is 17.

The square root of 413513 is about 643.0497647927. The cubic root of 413513 is about 74.5011635931.

Adding to 413513 its reverse (315314), we get a palindrome (728827).

The spelling of 413513 in words is "four hundred thirteen thousand, five hundred thirteen".