506132580 has 48 divisors (see below), whose sum is σ = 1418155200. Its totient is φ = 134875008.

The previous prime is 506132569. The next prime is 506132591. The reversal of 506132580 is 85231605.

It is an interprime number because it is at equal distance from previous prime (506132569) and next prime (506132591).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151771 + ... + 155069.

It is an arithmetic number, because the mean of its divisors is an integer number (29544900).

Almost surely, 2^506132580 is an apocalyptic number.

It is an amenable number.

506132580 is an abundant number, since it is smaller than the sum of its proper divisors (912022620).

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

506132580 is a wasteful number, since it uses less digits than its factorization.

506132580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 506132580 is about 22497.3905153464. The cubic root of 506132580 is about 796.9323036685.

The spelling of 506132580 in words is "five hundred six million, one hundred thirty-two thousand, five hundred eighty".