509873 has 12 divisors (see below), whose sum is σ = 632448. Its totient is φ = 402480.

The previous prime is 509867. The next prime is 509879. The reversal of 509873 is 378905.

It is an interprime number because it is at equal distance from previous prime (509867) and next prime (509879).

It is not a de Polignac number, because 509873 - 2¹² = 505777 is a prime.

It is a super-2 number, since 2×509873² = 519940952258, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509879) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 968 + ... + 1398.

It is an arithmetic number, because the mean of its divisors is an integer number (52704).

2⁵⁰⁹⁸⁷³ is an apocalyptic number.

It is an amenable number.

509873 is a deficient number, since it is larger than the sum of its proper divisors (122575).

509873 is a wasteful number, since it uses less digits than its factorization.

509873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 509873 is about 714.0539195327. The cubic root of 509873 is about 79.8890649889.

Adding to 509873 its sum of digits (32), we get a palindrome (509905).

The spelling of 509873 in words is "five hundred nine thousand, eight hundred seventy-three".