506010005506 has 32 divisors (see below), whose sum is σ = 808099089408. Its totient is φ = 237132236880.

The previous prime is 506010005477. The next prime is 506010005623. The reversal of 506010005506 is 605500010605.

It is a super-2 number, since 2×506010005506² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 57105 + ... + 1007611.

It is an arithmetic number, because the mean of its divisors is an integer number (25253096544).

Almost surely, 2^506010005506 is an apocalyptic number.

506010005506 is a deficient number, since it is larger than the sum of its proper divisors (302089083902).

506010005506 is a wasteful number, since it uses less digits than its factorization.

506010005506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950766.

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

The spelling of 506010005506 in words is "five hundred six billion, ten million, five thousand, five hundred six".