506001055006 has 16 divisors (see below), whose sum is σ = 806705827200. Its totient is φ = 237357672408.

The previous prime is 506001055003. The next prime is 506001055009. The reversal of 506001055006 is 600550100605.

It is an interprime number because it is at equal distance from previous prime (506001055003) and next prime (506001055009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506001055003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64635976 + ... + 64643803.

It is an arithmetic number, because the mean of its divisors is an integer number (50419114200).

Almost surely, 2^506001055006 is an apocalyptic number.

506001055006 is a deficient number, since it is larger than the sum of its proper divisors (300704772194).

506001055006 is a wasteful number, since it uses less digits than its factorization.

506001055006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129279903.

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 506001055006 in words is "five hundred six billion, one million, fifty-five thousand, six".