905005505055 has 16 divisors (see below), whose sum is σ = 1448333799264. Its totient is φ = 482561272320.

The previous prime is 905005505021. The next prime is 905005505059. The reversal of 905005505055 is 550505500509.

It is not a de Polignac number, because 905005505055 - 2¹⁶ = 905005439519 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905005505059) by changing a digit.

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, 6701566 + ... + 6835275.

It is an arithmetic number, because the mean of its divisors is an integer number (90520862454).

Almost surely, 2^905005505055 is an apocalyptic number.

905005505055 is a deficient number, since it is larger than the sum of its proper divisors (543328294209).

905005505055 is a wasteful number, since it uses less digits than its factorization.

905005505055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13541306.

The product of its (nonzero) digits is 140625, while the sum is 39.

The spelling of 905005505055 in words is "nine hundred five billion, five million, five hundred five thousand, fifty-five".