506055105 has 24 divisors (see below), whose sum is σ = 900872232. Its totient is φ = 262600704.

The previous prime is 506055103. The next prime is 506055161. The reversal of 506055105 is 501550605.

506055105 is a `hidden beast` number, since 5 + 0 + 605 + 51 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212926464 + 293128641 = 14592^2 + 17121^2 .

It is not a de Polignac number, because 506055105 - 2¹ = 506055103 is a prime.

It is a super-2 number, since 2×506055105² = 512183538593122050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506055103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150304 + ... + 153633.

It is an arithmetic number, because the mean of its divisors is an integer number (37536343).

Almost surely, 2^506055105 is an apocalyptic number.

It is an amenable number.

506055105 is a deficient number, since it is larger than the sum of its proper divisors (394817127).

506055105 is a wasteful number, since it uses less digits than its factorization.

506055105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303985 (or 303982 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 506055105 is about 22495.6685830851. The cubic root of 506055105 is about 796.8916387760.

The spelling of 506055105 in words is "five hundred six million, fifty-five thousand, one hundred five".