509516 has 24 divisors (see below), whose sum is σ = 1053696. Its totient is φ = 210960.

The previous prime is 509513. The next prime is 509521. The reversal of 509516 is 615905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575 + ... + 1161.

It is an arithmetic number, because the mean of its divisors is an integer number (43904).

2⁵⁰⁹⁵¹⁶ 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 509516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526848).

509516 is an abundant number, since it is smaller than the sum of its proper divisors (544180).

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

509516 is a wasteful number, since it uses less digits than its factorization.

509516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 509516 is about 713.8038946377. The cubic root of 509516 is about 79.8704152106.

It can be divided in two parts, 50 and 9516, that multiplied together give a triangular number (475800 = T₉₇₅).

The spelling of 509516 in words is "five hundred nine thousand, five hundred sixteen".