513163 has 4 divisors (see below), whose sum is σ = 586480. Its totient is φ = 439848.

The previous prime is 513157. The next prime is 513167. The reversal of 513163 is 361315.

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

It is a cyclic number.

It is not a de Polignac number, because 513163 - 2⁵ = 513131 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513163.

It is not an unprimeable number, because it can be changed into a prime (513167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36648 + ... + 36661.

It is an arithmetic number, because the mean of its divisors is an integer number (146620).

2⁵¹³¹⁶³ is an apocalyptic number.

513163 is a deficient number, since it is larger than the sum of its proper divisors (73317).

513163 is an equidigital number, since it uses as much as digits as its factorization.

513163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73316.

The product of its digits is 270, while the sum is 19.

The square root of 513163 is about 716.3539627866. The cubic root of 513163 is about 80.0605271110.

Adding to 513163 its reverse (361315), we get a palindrome (874478).

It can be divided in two parts, 513 and 163, that added together give a palindrome (676).

The spelling of 513163 in words is "five hundred thirteen thousand, one hundred sixty-three".