509550 has 48 divisors (see below), whose sum is σ = 1309440. Its totient is φ = 131040.

The previous prime is 509549. The next prime is 509557. The reversal of 509550 is 55905.

It is a self number, because there is not a number n which added to its sum of digits gives 509550.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509550.

It is not an unprimeable number, because it can be changed into a prime (509557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6411 + ... + 6489.

It is an arithmetic number, because the mean of its divisors is an integer number (27280).

2⁵⁰⁹⁵⁵⁰ is an apocalyptic number.

509550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 509550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654720).

509550 is an abundant number, since it is smaller than the sum of its proper divisors (799890).

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

509550 is a wasteful number, since it uses less digits than its factorization.

509550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 509550 is about 713.8277103055. The cubic root of 509550 is about 79.8721917552.

The spelling of 509550 in words is "five hundred nine thousand, five hundred fifty".