513223 has 4 divisors (see below), whose sum is σ = 515160. Its totient is φ = 511288.

The previous prime is 513203. The next prime is 513239. The reversal of 513223 is 322315.

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 513223 - 2⁹ = 512711 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513197 and 513206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513203) 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, 493 + ... + 1126.

It is an arithmetic number, because the mean of its divisors is an integer number (128790).

2⁵¹³²²³ is an apocalyptic number.

513223 is a deficient number, since it is larger than the sum of its proper divisors (1937).

513223 is a wasteful number, since it uses less digits than its factorization.

513223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936.

The product of its digits is 180, while the sum is 16.

The square root of 513223 is about 716.3958403006. The cubic root of 513223 is about 80.0636472661.

Adding to 513223 its reverse (322315), we get a palindrome (835538).

The spelling of 513223 in words is "five hundred thirteen thousand, two hundred twenty-three".