517112960 has 192 divisors, whose sum is σ = 1532105280. Its totient is φ = 163418112.

The previous prime is 517112929. The next prime is 517112963. The reversal of 517112960 is 69211715.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (517112963) 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 23 ways as a sum of consecutive naturals, for example, 756779 + ... + 757461.

It is an arithmetic number, because the mean of its divisors is an integer number (7979715).

Almost surely, 2^517112960 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 517112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766052640).

517112960 is an abundant number, since it is smaller than the sum of its proper divisors (1014992320).

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

517112960 is a wasteful number, since it uses less digits than its factorization.

517112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 32.

The square root of 517112960 is about 22740.1178536964. The cubic root of 517112960 is about 802.6541843930.

The spelling of 517112960 in words is "five hundred seventeen million, one hundred twelve thousand, nine hundred sixty".