505016512 has 112 divisors (see below), whose sum is σ = 1345704192. Its totient is φ = 181601280.

The previous prime is 505016507. The next prime is 505016521. The reversal of 505016512 is 215610505.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×505016512² = 510083354785292288, which contains 22 as substring.

It is a zygodrome in base 2.

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 15 ways as a sum of consecutive naturals, for example, 60123 + ... + 68005.

It is an arithmetic number, because the mean of its divisors is an integer number (12015216).

Almost surely, 2^505016512 is an apocalyptic number.

505016512 is a gapful number since it is divisible by the number (52) 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 505016512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672852096).

505016512 is an abundant number, since it is smaller than the sum of its proper divisors (840687680).

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

505016512 is a wasteful number, since it uses less digits than its factorization.

505016512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926 (or 7916 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 505016512 is about 22472.5724384192. The cubic root of 505016512 is about 796.3461033738.

The spelling of 505016512 in words is "five hundred five million, sixteen thousand, five hundred twelve".