509360521216 has 240 divisors, whose sum is σ = 1089253720800. Its totient is φ = 237787676672.

The previous prime is 509360521157. The next prime is 509360521289. The reversal of 509360521216 is 612125063905.

It is a super-3 number, since 3×509360521216³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2845589415 + ... + 2845589593.

It is an arithmetic number, because the mean of its divisors is an integer number (4538557170).

Almost surely, 2^509360521216 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 509360521216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544626860400).

509360521216 is an abundant number, since it is smaller than the sum of its proper divisors (579893199584).

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

509360521216 is a wasteful number, since it uses less digits than its factorization.

509360521216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 509360521216 in words is "five hundred nine billion, three hundred sixty million, five hundred twenty-one thousand, two hundred sixteen".