506001055009 has 2 divisors, whose sum is σ = 506001055010. Its totient is φ = 506001055008.

The previous prime is 506001055003. The next prime is 506001055073. The reversal of 506001055009 is 900550100605.

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., 368710056225 + 137290998784 = 607215^2 + 370528^2 .

It is a cyclic number.

It is not a de Polignac number, because 506001055009 - 2⁹ = 506001054497 is a prime.

It is not a weakly prime, because it can be changed into another prime (506001055003) 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, 253000527504 + 253000527505.

It is an arithmetic number, because the mean of its divisors is an integer number (253000527505).

Almost surely, 2^506001055009 is an apocalyptic number.

It is an amenable number.

506001055009 is a deficient number, since it is larger than the sum of its proper divisors (1).

506001055009 is an equidigital number, since it uses as much as digits as its factorization.

506001055009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6750, while the sum is 31.

The spelling of 506001055009 in words is "five hundred six billion, one million, fifty-five thousand, nine".