505811072 has 64 divisors (see below), whose sum is σ = 1089207000. Its totient is φ = 232587264.

The previous prime is 505811063. The next prime is 505811083. The reversal of 505811072 is 270118505.

It can be written as a sum of positive squares in 4 ways, for example, as 490002496 + 15808576 = 22136^2 + 3976^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 746798 + ... + 747474.

Almost surely, 2^505811072 is an apocalyptic number.

505811072 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 505811072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544603500).

505811072 is an abundant number, since it is smaller than the sum of its proper divisors (583395928).

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

505811072 is a wasteful number, since it uses less digits than its factorization.

505811072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 29.

The square root of 505811072 is about 22490.2439293130. The cubic root of 505811072 is about 796.7635241874.

Adding to 505811072 its reverse (270118505), we get a palindrome (775929577).

The spelling of 505811072 in words is "five hundred five million, eight hundred eleven thousand, seventy-two".