1005505505055 has 24 divisors (see below), whose sum is σ = 1743023121840. Its totient is φ = 536224398720.

The previous prime is 1005505505041. The next prime is 1005505505071. The reversal of 1005505505055 is 5505055055001.

It is a happy number.

1005505505055 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 5 + 0 + 550 + 50 + 55 = 666.

It is not a de Polignac number, because 1005505505055 - 2³³ = 996915570463 is a prime.

It is a super-2 number, since 2×1005505505055² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398526 + ... + 1473035.

It is an arithmetic number, because the mean of its divisors is an integer number (72625963410).

Almost surely, 2^{1005505505055} is an apocalyptic number.

1005505505055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005505505055 is a deficient number, since it is larger than the sum of its proper divisors (737517616785).

1005505505055 is a wasteful number, since it uses less digits than its factorization.

1005505505055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883511 (or 1883508 counting only the distinct ones).

The product of its (nonzero) digits is 78125, while the sum is 36.

The spelling of 1005505505055 in words is "one trillion, five billion, five hundred five million, five hundred five thousand, fifty-five".