506444993 has 2 divisors, whose sum is σ = 506444994. Its totient is φ = 506444992.

The previous prime is 506444989. The next prime is 506445029. The reversal of 506444993 is 399444605.

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., 483472144 + 22972849 = 21988^2 + 4793^2 .

It is a cyclic number.

It is not a de Polignac number, because 506444993 - 2² = 506444989 is a prime.

It is not a weakly prime, because it can be changed into another prime (506444903) 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 as a sum of consecutive naturals, namely, 253222496 + 253222497.

It is an arithmetic number, because the mean of its divisors is an integer number (253222497).

Almost surely, 2^506444993 is an apocalyptic number.

It is an amenable number.

506444993 is a deficient number, since it is larger than the sum of its proper divisors (1).

506444993 is an equidigital number, since it uses as much as digits as its factorization.

506444993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 466560, while the sum is 44.

The square root of 506444993 is about 22504.3327606041. The cubic root of 506444993 is about 797.0962401631.

The spelling of 506444993 in words is "five hundred six million, four hundred forty-four thousand, nine hundred ninety-three".