506101221 has 12 divisors (see below), whose sum is σ = 734230380. Its totient is φ = 335926080.

The previous prime is 506101213. The next prime is 506101241. The reversal of 506101221 is 122101605.

506101221 is a `hidden beast` number, since 50 + 610 + 1 + 2 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 405821025 + 100280196 = 20145^2 + 10014^2 .

It is not a de Polignac number, because 506101221 - 2³ = 506101213 is a prime.

It is a super-2 number, since 2×506101221² = 512276891795381682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506101194 and 506101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506101241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120720 + ... + 124841.

It is an arithmetic number, because the mean of its divisors is an integer number (61185865).

Almost surely, 2^506101221 is an apocalyptic number.

It is an amenable number.

506101221 is a deficient number, since it is larger than the sum of its proper divisors (228129159).

506101221 is a wasteful number, since it uses less digits than its factorization.

506101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245796 (or 245793 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 506101221 is about 22496.6935570541. The cubic root of 506101221 is about 796.9158445316.

Adding to 506101221 its reverse (122101605), we get a palindrome (628202826).

The spelling of 506101221 in words is "five hundred six million, one hundred one thousand, two hundred twenty-one".