518051007936 has 392 divisors, whose sum is σ = 1921641738624. Its totient is φ = 134557770240.

The previous prime is 518051007931. The next prime is 518051007949. The reversal of 518051007936 is 639700150815.

It is a happy number.

518051007936 is a `hidden beast` number, since 51 + 80 + 510 + 0 + 7 + 9 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 518051007891 and 518051007900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518051007931) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3520411 + ... + 3664613.

Almost surely, 2^518051007936 is an apocalyptic number.

518051007936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518051007936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960820869312).

518051007936 is an abundant number, since it is smaller than the sum of its proper divisors (1403590730688).

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

518051007936 is a wasteful number, since it uses less digits than its factorization.

518051007936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144251 (or 144226 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 518051007936 in words is "five hundred eighteen billion, fifty-one million, seven thousand, nine hundred thirty-six".