506807321 has 2 divisors, whose sum is σ = 506807322. Its totient is φ = 506807320.

The previous prime is 506807303. The next prime is 506807347. The reversal of 506807321 is 123708605.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 326308096 + 180499225 = 18064^2 + 13435^2 .

It is a cyclic number.

It is not a de Polignac number, because 506807321 - 2¹⁰ = 506806297 is a prime.

It is not a weakly prime, because it can be changed into another prime (506807351) 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 as a sum of consecutive naturals, namely, 253403660 + 253403661.

It is an arithmetic number, because the mean of its divisors is an integer number (253403661).

Almost surely, 2^506807321 is an apocalyptic number.

It is an amenable number.

506807321 is a deficient number, since it is larger than the sum of its proper divisors (1).

506807321 is an equidigital number, since it uses as much as digits as its factorization.

506807321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 506807321 is about 22512.3815044077. The cubic root of 506807321 is about 797.2862847832.

The spelling of 506807321 in words is "five hundred six million, eight hundred seven thousand, three hundred twenty-one".