506106055105 has 16 divisors (see below), whose sum is σ = 730619268480. Its totient is φ = 328778669952.

The previous prime is 506106055033. The next prime is 506106055127. The reversal of 506106055105 is 501550601605.

It is a cyclic number.

It is not a de Polignac number, because 506106055105 - 2⁷ = 506106054977 is a prime.

It is a super-2 number, since 2×506106055105² (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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380530204 + ... + 380531533.

It is an arithmetic number, because the mean of its divisors is an integer number (45663704280).

Almost surely, 2^506106055105 is an apocalyptic number.

It is an amenable number.

506106055105 is a deficient number, since it is larger than the sum of its proper divisors (224513213375).

506106055105 is a wasteful number, since it uses less digits than its factorization.

506106055105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761061768.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 506106055105 in words is "five hundred six billion, one hundred six million, fifty-five thousand, one hundred five".