518009856 has 352 divisors, whose sum is σ = 1815770880. Its totient is φ = 127401984.

The previous prime is 518009819. The next prime is 518009893. The reversal of 518009856 is 658900815.

It is an interprime number because it is at equal distance from previous prime (518009819) and next prime (518009893).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 4752330 + ... + 4752438.

It is an arithmetic number, because the mean of its divisors is an integer number (5158440).

Almost surely, 2^518009856 is an apocalyptic number.

518009856 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 518009856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907885440).

518009856 is an abundant number, since it is smaller than the sum of its proper divisors (1297761024).

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

518009856 is a wasteful number, since it uses less digits than its factorization.

518009856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 518009856 is about 22759.8298763413. The cubic root of 518009856 is about 803.1179654105.

The spelling of 518009856 in words is "five hundred eighteen million, nine thousand, eight hundred fifty-six".