1005111105601 has 4 divisors (see below), whose sum is σ = 1016404488900. Its totient is φ = 993817722304.

The previous prime is 1005111105547. The next prime is 1005111105623. The reversal of 1005111105601 is 1065011115001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 395610808576 + 609500297025 = 628976^2 + 780705^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005111105601 - 2¹¹ = 1005111103553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005111105641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5646691516 + ... + 5646691693.

It is an arithmetic number, because the mean of its divisors is an integer number (254101122225).

Almost surely, 2^{1005111105601} is an apocalyptic number.

It is an amenable number.

1005111105601 is a deficient number, since it is larger than the sum of its proper divisors (11293383299).

1005111105601 is an equidigital number, since it uses as much as digits as its factorization.

1005111105601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11293383298.

The product of its (nonzero) digits is 150, while the sum is 22.

The spelling of 1005111105601 in words is "one trillion, five billion, one hundred eleven million, one hundred five thousand, six hundred one".