506030133006 has 64 divisors (see below), whose sum is σ = 1160226547200. Its totient is φ = 163378641600.

The previous prime is 506030132989. The next prime is 506030133073. The reversal of 506030133006 is 600331030605.

506030133006 is a `hidden beast` number, since 50 + 6 + 0 + 301 + 3 + 300 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514410 + ... + 1129901.

It is an arithmetic number, because the mean of its divisors is an integer number (18128539800).

Almost surely, 2^506030133006 is an apocalyptic number.

506030133006 is an abundant number, since it is smaller than the sum of its proper divisors (654196414194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506030133006 is a wasteful number, since it uses less digits than its factorization.

506030133006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644502 (or 1644496 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The spelling of 506030133006 in words is "five hundred six billion, thirty million, one hundred thirty-three thousand, six".