509656 has 32 divisors (see below), whose sum is σ = 1152000. Its totient is φ = 206496.

The previous prime is 509653. The next prime is 509659. The reversal of 509656 is 656905.

It is a happy number.

509656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (509653) and next prime (509659).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509653) by changing a digit.

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, 825 + ... + 1303.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2⁵⁰⁹⁶⁵⁶ is an apocalyptic number.

509656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576000).

509656 is an abundant number, since it is smaller than the sum of its proper divisors (642344).

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

509656 is a wasteful number, since it uses less digits than its factorization.

509656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 509656 is about 713.9019540525. The cubic root of 509656 is about 79.8777298871.

The spelling of 509656 in words is "five hundred nine thousand, six hundred fifty-six".