513023 has 8 divisors (see below), whose sum is σ = 594048. Its totient is φ = 433944.

The previous prime is 513017. The next prime is 513031. The reversal of 513023 is 320315.

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

It is not a de Polignac number, because 513023 - 2⁶ = 512959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 512989 and 513007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140 + ... + 1022.

It is an arithmetic number, because the mean of its divisors is an integer number (74256).

2⁵¹³⁰²³ is an apocalyptic number.

513023 is a deficient number, since it is larger than the sum of its proper divisors (81025).

513023 is an equidigital number, since it uses as much as digits as its factorization.

513023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 513023 is about 716.2562390653. The cubic root of 513023 is about 80.0532458032.

Adding to 513023 its reverse (320315), we get a palindrome (833338).

The spelling of 513023 in words is "five hundred thirteen thousand, twenty-three".