509056 has 32 divisors (see below), whose sum is σ = 1049580. Its totient is φ = 245760.

The previous prime is 509053. The next prime is 509063. The reversal of 509056 is 650905.

It is a happy number.

509056 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 462400 + 46656 = 680^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×509056² = 518276022272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 509056.

It is not an unprimeable number, because it can be changed into a prime (509053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5200 + ... + 5296.

2⁵⁰⁹⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524790).

509056 is an abundant number, since it is smaller than the sum of its proper divisors (540524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509056 is an equidigital number, since it uses as much as digits as its factorization.

509056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 509056 is about 713.4816045281. The cubic root of 509056 is about 79.8463718354.

The spelling of 509056 in words is "five hundred nine thousand, fifty-six".