509533 has 4 divisors (see below), whose sum is σ = 517948. Its totient is φ = 501120.

The previous prime is 509521. The next prime is 509543. The reversal of 509533 is 335905.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 335905 = 5 ⋅67181.

It can be written as a sum of positive squares in 2 ways, for example, as 145924 + 363609 = 382^2 + 603^2 .

It is a cyclic number.

It is not a de Polignac number, because 509533 - 2¹³ = 501341 is a prime.

It is a Duffinian number.

509533 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 509498 and 509507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4116 + ... + 4237.

It is an arithmetic number, because the mean of its divisors is an integer number (129487).

2⁵⁰⁹⁵³³ is an apocalyptic number.

It is an amenable number.

509533 is a deficient number, since it is larger than the sum of its proper divisors (8415).

509533 is an equidigital number, since it uses as much as digits as its factorization.

509533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8414.

The product of its (nonzero) digits is 2025, while the sum is 25.

The square root of 509533 is about 713.8158025709. The cubic root of 509533 is about 79.8713034928.

The spelling of 509533 in words is "five hundred nine thousand, five hundred thirty-three".