505520120 has 64 divisors (see below), whose sum is σ = 1303128000. Its totient is φ = 172892160.

The previous prime is 505520117. The next prime is 505520129. The reversal of 505520120 is 21025505.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 505520092 and 505520101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505520129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123710 + ... + 127730.

It is an arithmetic number, because the mean of its divisors is an integer number (20361375).

Almost surely, 2^505520120 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 505520120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651564000).

505520120 is an abundant number, since it is smaller than the sum of its proper divisors (797607880).

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

505520120 is a wasteful number, since it uses less digits than its factorization.

505520120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4488 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 505520120 is about 22483.7745941379. The cubic root of 505520120 is about 796.6107237862.

Adding to 505520120 its reverse (21025505), we get a palindrome (526545625).

The spelling of 505520120 in words is "five hundred five million, five hundred twenty thousand, one hundred twenty".