518063120 has 80 divisors (see below), whose sum is σ = 1272240000. Its totient is φ = 195646464.

The previous prime is 518063089. The next prime is 518063141. The reversal of 518063120 is 21360815.

It is a Cunningham number, because it is equal to 22761²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 518063120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864581 + ... + 865179.

It is an arithmetic number, because the mean of its divisors is an integer number (15903000).

Almost surely, 2^518063120 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 518063120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636120000).

518063120 is an abundant number, since it is smaller than the sum of its proper divisors (754176880).

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

518063120 is a wasteful number, since it uses less digits than its factorization.

518063120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 518063120 is about 22760.9999780326. Note that the first 4 decimals coincide. The cubic root of 518063120 is about 803.1454911475.

The spelling of 518063120 in words is "five hundred eighteen million, sixty-three thousand, one hundred twenty".