509116 has 12 divisors (see below), whose sum is σ = 943488. Its totient is φ = 239552.

The previous prime is 509101. The next prime is 509123. The reversal of 509116 is 611905.

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 3 ways as a sum of consecutive naturals, for example, 3676 + ... + 3811.

It is an arithmetic number, because the mean of its divisors is an integer number (78624).

2⁵⁰⁹¹¹⁶ is an apocalyptic number.

It is an amenable number.

509116 is a deficient number, since it is larger than the sum of its proper divisors (434372).

509116 is a wasteful number, since it uses less digits than its factorization.

509116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7508 (or 7506 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 509116 is about 713.5236506241. The cubic root of 509116 is about 79.8495087490.

It can be divided in two parts, 509 and 116, that added together give a 4-th power (625 = 5⁴).

The spelling of 509116 in words is "five hundred nine thousand, one hundred sixteen".