518665950 has 192 divisors, whose sum is σ = 1590969600. Its totient is φ = 123177600.

The previous prime is 518665943. The next prime is 518665967. The reversal of 518665950 is 59566815.

It is a happy number.

518665950 is a `hidden beast` number, since 51 + 8 + 6 + 6 + 595 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 518665896 and 518665905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 786721 + ... + 787379.

It is an arithmetic number, because the mean of its divisors is an integer number (8286300).

Almost surely, 2^518665950 is an apocalyptic number.

518665950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 518665950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795484800).

518665950 is an abundant number, since it is smaller than the sum of its proper divisors (1072303650).

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

518665950 is a wasteful number, since it uses less digits than its factorization.

518665950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 518665950 is about 22774.2387359051. The cubic root of 518665950 is about 803.4568898335.

The spelling of 518665950 in words is "five hundred eighteen million, six hundred sixty-five thousand, nine hundred fifty".