1005601001111 has 16 divisors (see below), whose sum is σ = 1199299129344. Its totient is φ = 824417651904.

The previous prime is 1005601001089. The next prime is 1005601001137. The reversal of 1005601001111 is 1111001065001.

It is not a de Polignac number, because 1005601001111 - 2⁶ = 1005601001047 is a prime.

It is a super-2 number, since 2×1005601001111² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005601001111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005601001161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2584715 + ... + 2948211.

It is an arithmetic number, because the mean of its divisors is an integer number (74956195584).

Almost surely, 2^{1005601001111} is an apocalyptic number.

1005601001111 is a deficient number, since it is larger than the sum of its proper divisors (193698128233).

1005601001111 is a wasteful number, since it uses less digits than its factorization.

1005601001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380710.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 1005601001111 its reverse (1111001065001), we get a palindrome (2116602066112).

The spelling of 1005601001111 in words is "one trillion, five billion, six hundred one million, one thousand, one hundred eleven".