518142312 has 128 divisors (see below), whose sum is σ = 1524096000. Its totient is φ = 162648000.

The previous prime is 518142311. The next prime is 518142323. The reversal of 518142312 is 213241815.

518142312 is a `hidden beast` number, since 518 + 142 + 3 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (518142311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1029853 + ... + 1030355.

It is an arithmetic number, because the mean of its divisors is an integer number (11907000).

Almost surely, 2^518142312 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 518142312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048000).

518142312 is an abundant number, since it is smaller than the sum of its proper divisors (1005953688).

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

518142312 is a wasteful number, since it uses less digits than its factorization.

518142312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 518142312 is about 22762.7395539289. The cubic root of 518142312 is about 803.1864124527.

The spelling of 518142312 in words is "five hundred eighteen million, one hundred forty-two thousand, three hundred twelve".