506130120 has 224 divisors, whose sum is σ = 1809614520. Its totient is φ = 126904320.

The previous prime is 506130091. The next prime is 506130133. The reversal of 506130120 is 21031605.

506130120 is a `hidden beast` number, since 50 + 613 + 0 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 468895716 + 37234404 = 21654^2 + 6102^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 506130093 and 506130102.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 495210 + ... + 496230.

Almost surely, 2^506130120 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 506130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904807260).

506130120 is an abundant number, since it is smaller than the sum of its proper divisors (1303484400).

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

506130120 is a wasteful number, since it uses less digits than its factorization.

506130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 506130120 is about 22497.3358422725. The cubic root of 506130120 is about 796.9310125334.

Adding to 506130120 its reverse (21031605), we get a palindrome (527161725).

The spelling of 506130120 in words is "five hundred six million, one hundred thirty thousand, one hundred twenty".