518063121 has 27 divisors (see below), whose sum is σ = 779830363. Its totient is φ = 344146320.

The previous prime is 518063089. The next prime is 518063141. The reversal of 518063121 is 121360815.

The square root of 518063121 is 22761.

It is a perfect power (a square), and thus also a powerful number.

518063121 is a `hidden beast` number, since 5 + 1 + 8 + 0 + 631 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 350101521 + 167961600 = 18711^2 + 12960^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 518063121 - 2⁵ = 518063089 is a prime.

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

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (518063141) 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 26 ways as a sum of consecutive naturals, for example, 1843501 + ... + 1843781.

Almost surely, 2^518063121 is an apocalyptic number.

518063121 is the 22761-st square number.

518063121 is the 11381-st centered octagonal number.

It is an amenable number.

518063121 is a deficient number, since it is larger than the sum of its proper divisors (261767242).

518063121 is an frugal number, since it uses more digits than its factorization.

518063121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The cubic root of 518063121 is about 803.1454916643.

The spelling of 518063121 in words is "five hundred eighteen million, sixty-three thousand, one hundred twenty-one".