509431 has 8 divisors (see below), whose sum is σ = 554400. Its totient is φ = 465312.

The previous prime is 509429. The next prime is 509441. The reversal of 509431 is 134905.

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 509431 - 2¹ = 509429 is a prime.

It is a super-2 number, since 2×509431² = 519039887522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509441) 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, 1806 + ... + 2068.

It is an arithmetic number, because the mean of its divisors is an integer number (69300).

2⁵⁰⁹⁴³¹ is an apocalyptic number.

509431 is a deficient number, since it is larger than the sum of its proper divisors (44969).

509431 is a wasteful number, since it uses less digits than its factorization.

509431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 509431 is about 713.7443519917. The cubic root of 509431 is about 79.8659735033.

The spelling of 509431 in words is "five hundred nine thousand, four hundred thirty-one".