509135 has 8 divisors (see below), whose sum is σ = 666576. Its totient is φ = 370240.

The previous prime is 509123. The next prime is 509137. The reversal of 509135 is 531905.

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

It is not a de Polignac number, because 509135 - 2⁶ = 509071 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 509135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509137) 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, 4574 + ... + 4683.

It is an arithmetic number, because the mean of its divisors is an integer number (83322).

2⁵⁰⁹¹³⁵ is an apocalyptic number.

509135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

509135 is a deficient number, since it is larger than the sum of its proper divisors (157441).

509135 is a wasteful number, since it uses less digits than its factorization.

509135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9273.

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 509135 is about 713.5369647047. The cubic root of 509135 is about 79.8505020536.

The spelling of 509135 in words is "five hundred nine thousand, one hundred thirty-five".