513423 has 6 divisors (see below), whose sum is σ = 741624. Its totient is φ = 342276.

The previous prime is 513419. The next prime is 513427. The reversal of 513423 is 324315.

513423 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 (513419) and next prime (513427).

It is not a de Polignac number, because 513423 - 2² = 513419 is a prime.

513423 is strictly pandigital in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 513396 and 513405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28515 + ... + 28532.

It is an arithmetic number, because the mean of its divisors is an integer number (123604).

2⁵¹³⁴²³ is an apocalyptic number.

513423 is a deficient number, since it is larger than the sum of its proper divisors (228201).

513423 is a wasteful number, since it uses less digits than its factorization.

513423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57053 (or 57050 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 513423 is about 716.5354143376. The cubic root of 513423 is about 80.0740460270.

Adding to 513423 its reverse (324315), we get a palindrome (837738).

The spelling of 513423 in words is "five hundred thirteen thousand, four hundred twenty-three".