518117040 has 160 divisors (see below), whose sum is σ = 2039631360. Its totient is φ = 118423296.

The previous prime is 518117011. The next prime is 518117059. The reversal of 518117040 is 40711815.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 518116995 and 518117013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2014 + ... + 32253.

It is an arithmetic number, because the mean of its divisors is an integer number (12747696).

Almost surely, 2^518117040 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 518117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019815680).

518117040 is an abundant number, since it is smaller than the sum of its proper divisors (1521514320).

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

518117040 is a wasteful number, since it uses less digits than its factorization.

518117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34296 (or 34284 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 518117040 is about 22762.1844294435. The cubic root of 518117040 is about 803.1733539702.

Adding to 518117040 its reverse (40711815), we get a palindrome (558828855).

The spelling of 518117040 in words is "five hundred eighteen million, one hundred seventeen thousand, forty".