506221000 has 64 divisors (see below), whose sum is σ = 1188120960. Its totient is φ = 201880000.

The previous prime is 506220977. The next prime is 506221021. The reversal of 506221000 is 122605.

It is a happy number.

It is an unprimeable number.

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, 490485 + ... + 491515.

It is an arithmetic number, because the mean of its divisors is an integer number (18564390).

Almost surely, 2^506221000 is an apocalyptic number.

506221000 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 506221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594060480).

506221000 is an abundant number, since it is smaller than the sum of its proper divisors (681899960).

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

506221000 is a wasteful number, since it uses less digits than its factorization.

506221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 506221000 is about 22499.3555463262. The cubic root of 506221000 is about 796.9787082761.

Adding to 506221000 its reverse (122605), we get a palindrome (506343605).

It can be divided in two parts, 5062 and 21000, that added together give a palindrome (26062).

The spelling of 506221000 in words is "five hundred six million, two hundred twenty-one thousand".