518538272 has 96 divisors (see below), whose sum is σ = 1245686400. Its totient is φ = 207525888.

The previous prime is 518538227. The next prime is 518538277. The reversal of 518538272 is 272835815.

It is a super-3 number, since 3×518538272³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (518538277) 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, 309854 + ... + 311522.

It is an arithmetic number, because the mean of its divisors is an integer number (12975900).

Almost surely, 2^518538272 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 518538272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622843200).

518538272 is an abundant number, since it is smaller than the sum of its proper divisors (727148128).

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

518538272 is a wasteful number, since it uses less digits than its factorization.

518538272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1770 counting only the distinct ones).

The product of its digits is 134400, while the sum is 41.

The square root of 518538272 is about 22771.4354400420. The cubic root of 518538272 is about 803.3909564599.

The spelling of 518538272 in words is "five hundred eighteen million, five hundred thirty-eight thousand, two hundred seventy-two".