506416221 has 6 divisors (see below), whose sum is σ = 731490110. Its totient is φ = 337610808.

The previous prime is 506416199. The next prime is 506416237. The reversal of 506416221 is 122614605.

It can be written as a sum of positive squares in only one way, i.e., 491508900 + 14907321 = 22170^2 + 3861^2 .

It is not a de Polignac number, because 506416221 - 2⁵ = 506416189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506416321) 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 5 ways as a sum of consecutive naturals, for example, 28134226 + ... + 28134243.

Almost surely, 2^506416221 is an apocalyptic number.

It is an amenable number.

506416221 is a deficient number, since it is larger than the sum of its proper divisors (225073889).

506416221 is a wasteful number, since it uses less digits than its factorization.

506416221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56268475 (or 56268472 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 506416221 is about 22503.6934968462. The cubic root of 506416221 is about 797.0811450803.

The spelling of 506416221 in words is "five hundred six million, four hundred sixteen thousand, two hundred twenty-one".