509216 has 12 divisors (see below), whose sum is σ = 1002582. Its totient is φ = 254592.

The previous prime is 509203. The next prime is 509221. The reversal of 509216 is 612905.

It can be written as a sum of positive squares in only one way, i.e., 364816 + 144400 = 604^2 + 380^2 .

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 509191 and 509200.

It is an unprimeable number.

509216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7925 + ... + 7988.

2⁵⁰⁹²¹⁶ is an apocalyptic number.

It is an amenable number.

509216 is a deficient number, since it is larger than the sum of its proper divisors (493366).

509216 is a wasteful number, since it uses less digits than its factorization.

509216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15923 (or 15915 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 509216 is about 713.5937219455. The cubic root of 509216 is about 79.8547363907.

The spelling of 509216 in words is "five hundred nine thousand, two hundred sixteen".