513224163 has 12 divisors (see below), whose sum is σ = 741655720. Its totient is φ = 341996256.

The previous prime is 513224147. The next prime is 513224227. The reversal of 513224163 is 361422315.

It is not a de Polignac number, because 513224163 - 2⁴ = 513224147 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513224113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10728 + ... + 33786.

Almost surely, 2^513224163 is an apocalyptic number.

513224163 is a deficient number, since it is larger than the sum of its proper divisors (228431557).

513224163 is a wasteful number, since it uses less digits than its factorization.

513224163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25538 (or 25535 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 513224163 is about 22654.4512844606. The cubic root of 513224163 is about 800.6370774266.

Adding to 513224163 its reverse (361422315), we get a palindrome (874646478).

It can be divided in two parts, 513 and 224163, that added together give a square (224676 = 474²).

The spelling of 513224163 in words is "five hundred thirteen million, two hundred twenty-four thousand, one hundred sixty-three".