509095 has 8 divisors (see below), whose sum is σ = 632160. Its totient is φ = 393120.

The previous prime is 509087. The next prime is 509101. The reversal of 509095 is 590905.

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

It is not a de Polignac number, because 509095 - 2³ = 509087 is a prime.

509095 is a lucky number.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1611 + ... + 1900.

It is an arithmetic number, because the mean of its divisors is an integer number (79020).

2⁵⁰⁹⁰⁹⁵ is an apocalyptic number.

509095 is a deficient number, since it is larger than the sum of its proper divisors (123065).

509095 is a wasteful number, since it uses less digits than its factorization.

509095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545.

The product of its (nonzero) digits is 2025, while the sum is 28.

The square root of 509095 is about 713.5089347724. The cubic root of 509095 is about 79.8484108572.

Subtracting 509095 from its reverse (590905), we obtain a triangular number (81810 = T₄₀₄).

The spelling of 509095 in words is "five hundred nine thousand, ninety-five".