518717952 has 160 divisors (see below), whose sum is σ = 1551686400. Its totient is φ = 171085824.

The previous prime is 518717951. The next prime is 518717963. The reversal of 518717952 is 259717815.

It is a junction number, because it is equal to n+sod(n) for n = 518717898 and 518717907.

It is not an unprimeable number, because it can be changed into a prime (518717951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2170249 + ... + 2170487.

It is an arithmetic number, because the mean of its divisors is an integer number (9698040).

Almost surely, 2^518717952 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 518717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775843200).

518717952 is an abundant number, since it is smaller than the sum of its proper divisors (1032968448).

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

518717952 is a wasteful number, since it uses less digits than its factorization.

518717952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 401 counting only the distinct ones).

The product of its digits is 176400, while the sum is 45.

The square root of 518717952 is about 22775.3803919935. The cubic root of 518717952 is about 803.4837407504.

The spelling of 518717952 in words is "five hundred eighteen million, seven hundred seventeen thousand, nine hundred fifty-two".