505006055006 has 16 divisors (see below), whose sum is σ = 758584148400. Its totient is φ = 252144927360.

The previous prime is 505006055003. The next prime is 505006055009. The reversal of 505006055006 is 600550600505.

It is an interprime number because it is at equal distance from previous prime (505006055003) and next prime (505006055009).

It is a super-2 number, since 2×505006055006² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505006055003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3986726 + ... + 4111446.

It is an arithmetic number, because the mean of its divisors is an integer number (47411509275).

Almost surely, 2^505006055006 is an apocalyptic number.

505006055006 is a deficient number, since it is larger than the sum of its proper divisors (253578093394).

505006055006 is a wasteful number, since it uses less digits than its factorization.

505006055006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127579.

The product of its (nonzero) digits is 22500, while the sum is 32.

The spelling of 505006055006 in words is "five hundred five billion, six million, fifty-five thousand, six".