509493 has 4 divisors (see below), whose sum is σ = 679328. Its totient is φ = 339660.

The previous prime is 509477. The next prime is 509513. The reversal of 509493 is 394905.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 509493 - 2⁴ = 509477 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 509493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509413) 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, 84913 + ... + 84918.

It is an arithmetic number, because the mean of its divisors is an integer number (169832).

2⁵⁰⁹⁴⁹³ is an apocalyptic number.

It is an amenable number.

509493 is a deficient number, since it is larger than the sum of its proper divisors (169835).

509493 is a wasteful number, since it uses less digits than its factorization.

509493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169834.

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 509493 is about 713.7877835884. The cubic root of 509493 is about 79.8692133856.

The spelling of 509493 in words is "five hundred nine thousand, four hundred ninety-three".