506413 has 4 divisors (see below), whose sum is σ = 536220. Its totient is φ = 476608.

The previous prime is 506393. The next prime is 506417. The reversal of 506413 is 314605.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 314605 = 5 ⋅62921.

It can be written as a sum of positive squares in 2 ways, for example, as 178084 + 328329 = 422^2 + 573^2 .

It is a cyclic number.

It is not a de Polignac number, because 506413 - 2⁵ = 506381 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 (506417) 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, 14878 + ... + 14911.

It is an arithmetic number, because the mean of its divisors is an integer number (134055).

2⁵⁰⁶⁴¹³ is an apocalyptic number.

It is an amenable number.

506413 is a deficient number, since it is larger than the sum of its proper divisors (29807).

506413 is a wasteful number, since it uses less digits than its factorization.

506413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29806.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 506413 is about 711.6270090434. The cubic root of 506413 is about 79.7079455163.

It can be divided in two parts, 506 and 413, that added together give a palindrome (919).

The spelling of 506413 in words is "five hundred six thousand, four hundred thirteen".