1005110505005 has 8 divisors (see below), whose sum is σ = 1269613269600. Its totient is φ = 761767961616.

The previous prime is 1005110504987. The next prime is 1005110505019. The reversal of 1005110505005 is 5005050115001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005110505005 - 2²⁴ = 1005093727789 is a prime.

It is a super-2 number, since 2×1005110505005² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5290055195 + ... + 5290055384.

It is an arithmetic number, because the mean of its divisors is an integer number (158701658700).

Almost surely, 2^{1005110505005} is an apocalyptic number.

It is an amenable number.

1005110505005 is a deficient number, since it is larger than the sum of its proper divisors (264502764595).

1005110505005 is a wasteful number, since it uses less digits than its factorization.

1005110505005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10580110603.

The product of its (nonzero) digits is 625, while the sum is 23.

The spelling of 1005110505005 in words is "one trillion, five billion, one hundred ten million, five hundred five thousand, five".