509540329 has 3 divisors (see below), whose sum is σ = 509562903. Its totient is φ = 509517756.

The previous prime is 509540327. The next prime is 509540359. The reversal of 509540329 is 923045905.

The square root of 509540329 is 22573.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 27825625 + 481714704 = 5275^2 + 21948^2 .

It is not a de Polignac number, because 509540329 - 2¹ = 509540327 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509540323) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11287 + ... + 33859.

It is an arithmetic number, because the mean of its divisors is an integer number (169854301).

Almost surely, 2^509540329 is an apocalyptic number.

509540329 is the 22573-rd square number.

509540329 is the 11287-th centered octagonal number.

It is an amenable number.

509540329 is a deficient number, since it is larger than the sum of its proper divisors (22574).

509540329 is an frugal number, since it uses more digits than its factorization.

509540329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45146 (or 22573 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The cubic root of 509540329 is about 798.7168644083.

The spelling of 509540329 in words is "five hundred nine million, five hundred forty thousand, three hundred twenty-nine".