505353516 has 96 divisors (see below), whose sum is σ = 1267176960. Its totient is φ = 156389376.

The previous prime is 505353487. The next prime is 505353547. The reversal of 505353516 is 615353505.

It is a super-2 number, since 2×505353516² = 510764352267124512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2618316 + ... + 2618508.

It is an arithmetic number, because the mean of its divisors is an integer number (13199760).

Almost surely, 2^505353516 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 505353516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633588480).

505353516 is an abundant number, since it is smaller than the sum of its proper divisors (761823444).

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

505353516 is a wasteful number, since it uses less digits than its factorization.

505353516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 33.

The square root of 505353516 is about 22480.0693059430. The cubic root of 505353516 is about 796.5232013115.

The spelling of 505353516 in words is "five hundred five million, three hundred fifty-three thousand, five hundred sixteen".