509560 has 16 divisors (see below), whose sum is σ = 1146600. Its totient is φ = 203808.

The previous prime is 509557. The next prime is 509563. The reversal of 509560 is 65905.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (509557) and next prime (509563).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509563) 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 3 ways as a sum of consecutive naturals, for example, 6330 + ... + 6409.

2⁵⁰⁹⁵⁶⁰ is an apocalyptic number.

It is an amenable number.

509560 is an abundant number, since it is smaller than the sum of its proper divisors (637040).

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

509560 is a wasteful number, since it uses less digits than its factorization.

509560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12750 (or 12746 counting only the distinct ones).

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

The square root of 509560 is about 713.8347147625. The cubic root of 509560 is about 79.8727142533.

The spelling of 509560 in words is "five hundred nine thousand, five hundred sixty".