505111328 has 54 divisors (see below), whose sum is σ = 1037483811. Its totient is φ = 242066944.

The previous prime is 505111297. The next prime is 505111339. The reversal of 505111328 is 823111505.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 308775184 + 196336144 = 17572^2 + 14012^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15892.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 505111297 and 505111306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3686876 + ... + 3687012.

Almost surely, 2^505111328 is an apocalyptic number.

505111328 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505111328

505111328 is an abundant number, since it is smaller than the sum of its proper divisors (532372483).

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

505111328 is an equidigital number, since it uses as much as digits as its factorization.

505111328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 505111328 is about 22474.6819332332. The cubic root of 505111328 is about 796.3959378019.

The spelling of 505111328 in words is "five hundred five million, one hundred eleven thousand, three hundred twenty-eight".