1001111005505 has 8 divisors (see below), whose sum is σ = 1293743453352. Its totient is φ = 739281973248.

The previous prime is 1001111005483. The next prime is 1001111005571. The reversal of 1001111005505 is 5055001111001.

1001111005505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 54584378689 + 946526626816 = 233633^2 + 972896^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-1001111005505 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7700853824 + ... + 7700853953.

It is an arithmetic number, because the mean of its divisors is an integer number (161717931669).

Almost surely, 2^{1001111005505} is an apocalyptic number.

It is an amenable number.

1001111005505 is a deficient number, since it is larger than the sum of its proper divisors (292632447847).

1001111005505 is a wasteful number, since it uses less digits than its factorization.

1001111005505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15401707795.

The product of its (nonzero) digits is 125, while the sum is 20.

Adding to 1001111005505 its reverse (5055001111001), we get a palindrome (6056112116506).

The spelling of 1001111005505 in words is "one trillion, one billion, one hundred eleven million, five thousand, five hundred five".