509993 has 8 divisors (see below), whose sum is σ = 565056. Its totient is φ = 456400.

The previous prime is 509989. The next prime is 510007. The reversal of 509993 is 399905.

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

It is a cyclic number.

It is not a de Polignac number, because 509993 - 2² = 509989 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509963) 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, 455 + ... + 1107.

It is an arithmetic number, because the mean of its divisors is an integer number (70632).

2⁵⁰⁹⁹⁹³ is an apocalyptic number.

It is an amenable number.

509993 is a deficient number, since it is larger than the sum of its proper divisors (55063).

509993 is a wasteful number, since it uses less digits than its factorization.

509993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735.

The product of its (nonzero) digits is 10935, while the sum is 35.

The square root of 509993 is about 714.1379418572. The cubic root of 509993 is about 79.8953318670.

The spelling of 509993 in words is "five hundred nine thousand, nine hundred ninety-three".