506083221 has 72 divisors (see below), whose sum is σ = 928680480. Its totient is φ = 273847392.

The previous prime is 506083219. The next prime is 506083247. The reversal of 506083221 is 122380605.

506083221 is a `hidden beast` number, since 5 + 0 + 608 + 32 + 21 = 666.

It is not a de Polignac number, because 506083221 - 2¹ = 506083219 is a prime.

It is a super-2 number, since 2×506083221² = 512240453155469682, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506083271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 225115 + ... + 227351.

It is an arithmetic number, because the mean of its divisors is an integer number (12898340).

Almost surely, 2^506083221 is an apocalyptic number.

It is an amenable number.

506083221 is a deficient number, since it is larger than the sum of its proper divisors (422597259).

506083221 is a wasteful number, since it uses less digits than its factorization.

506083221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2266 counting only the distinct ones).

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

The square root of 506083221 is about 22496.2934947071. The cubic root of 506083221 is about 796.9063967145.

The spelling of 506083221 in words is "five hundred six million, eighty-three thousand, two hundred twenty-one".