505055106 has 24 divisors (see below), whose sum is σ = 1123862844. Its totient is φ = 163801440.

The previous prime is 505055071. The next prime is 505055107. The reversal of 505055106 is 601550505.

505055106 is a `hidden beast` number, since 50 + 505 + 5 + 106 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 499924881 + 5130225 = 22359^2 + 2265^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 505055106.

It is not an unprimeable number, because it can be changed into a prime (505055107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 378505 + ... + 379836.

Almost surely, 2^505055106 is an apocalyptic number.

505055106 is an abundant number, since it is smaller than the sum of its proper divisors (618807738).

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

505055106 is a wasteful number, since it uses less digits than its factorization.

505055106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758386 (or 758383 counting only the distinct ones).

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

The square root of 505055106 is about 22473.4311132057. The cubic root of 505055106 is about 796.3663887822.

It can be divided in two parts, 50505 and 5106, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 505055106 in words is "five hundred five million, fifty-five thousand, one hundred six".