520353 has 24 divisors (see below), whose sum is σ = 842400. Its totient is φ = 307584.

The previous prime is 520349. The next prime is 520357. The reversal of 520353 is 353025.

520353 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (520349) and next prime (520357).

It is not a de Polignac number, because 520353 - 2² = 520349 is a prime.

520353 is strictly pandigital in base 7.

520353 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (520357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2818 + ... + 2996.

It is an arithmetic number, because the mean of its divisors is an integer number (35100).

2⁵²⁰³⁵³ is an apocalyptic number.

It is an amenable number.

520353 is a deficient number, since it is larger than the sum of its proper divisors (322047).

520353 is a wasteful number, since it uses less digits than its factorization.

520353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 520353 is about 721.3549750296. The cubic root of 520353 is about 80.4327074173.

Adding to 520353 its reverse (353025), we get a palindrome (873378).

The spelling of 520353 in words is "five hundred twenty thousand, three hundred fifty-three".