505611520 has 144 divisors (see below), whose sum is σ = 1281465360. Its totient is φ = 190840832.

The previous prime is 505611517. The next prime is 505611523. The reversal of 505611520 is 25116505.

It is an interprime number because it is at equal distance from previous prime (505611517) and next prime (505611523).

It can be written as a sum of positive squares in 8 ways, for example, as 71639296 + 433972224 = 8464^2 + 20832^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505611523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1967232 + ... + 1967488.

It is an arithmetic number, because the mean of its divisors is an integer number (8899065).

Almost surely, 2^505611520 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 505611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640732680).

505611520 is an abundant number, since it is smaller than the sum of its proper divisors (775853840).

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

505611520 is a wasteful number, since it uses less digits than its factorization.

505611520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 346 counting only the distinct ones).

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

The square root of 505611520 is about 22485.8070791333. The cubic root of 505611520 is about 796.6587309967.

The spelling of 505611520 in words is "five hundred five million, six hundred eleven thousand, five hundred twenty".