506556500 has 48 divisors (see below), whose sum is σ = 1108563456. Its totient is φ = 202212000.

The previous prime is 506556487. The next prime is 506556503. The reversal of 506556500 is 5655605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506556503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410885 + ... + 412115.

It is an arithmetic number, because the mean of its divisors is an integer number (23095072).

Almost surely, 2^506556500 is an apocalyptic number.

506556500 is a gapful number since it is divisible by the number (50) 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 506556500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554281728).

506556500 is an abundant number, since it is smaller than the sum of its proper divisors (602006956).

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

506556500 is a wasteful number, since it uses less digits than its factorization.

506556500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The square root of 506556500 is about 22506.8100805067. The cubic root of 506556500 is about 797.1547363402.

The spelling of 506556500 in words is "five hundred six million, five hundred fifty-six thousand, five hundred".