520413 has 8 divisors (see below), whose sum is σ = 710976. Its totient is φ = 338400.

The previous prime is 520411. The next prime is 520423. The reversal of 520413 is 314025.

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

It is not a de Polignac number, because 520413 - 2¹ = 520411 is a prime.

It is a Curzon number.

520413 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 520392 and 520401.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 520413.

It is not an unprimeable number, because it can be changed into a prime (520411) 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 7 ways as a sum of consecutive naturals, for example, 1993 + ... + 2238.

It is an arithmetic number, because the mean of its divisors is an integer number (88872).

2⁵²⁰⁴¹³ is an apocalyptic number.

It is an amenable number.

520413 is a deficient number, since it is larger than the sum of its proper divisors (190563).

520413 is a wasteful number, since it uses less digits than its factorization.

520413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 520413 is about 721.3965622319. The cubic root of 520413 is about 80.4357987655.

Adding to 520413 its reverse (314025), we get a palindrome (834438).

The spelling of 520413 in words is "five hundred twenty thousand, four hundred thirteen".