1005001001111 has 4 divisors (see below), whose sum is σ = 1015361836272. Its totient is φ = 994640165952.

The previous prime is 1005001001063. The next prime is 1005001001153. The reversal of 1005001001111 is 1111001005001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 1005001001111 - 2¹⁸ = 1005000738967 is a prime.

It is a super-3 number, since 3×1005001001111³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005001001092 and 1005001001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005001061111) 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, 5180417435 + ... + 5180417628.

It is an arithmetic number, because the mean of its divisors is an integer number (253840459068).

Almost surely, 2^{1005001001111} is an apocalyptic number.

1005001001111 is a deficient number, since it is larger than the sum of its proper divisors (10360835161).

1005001001111 is an equidigital number, since it uses as much as digits as its factorization.

1005001001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10360835160.

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 1005001001111 its reverse (1111001005001), we get a palindrome (2116002006112).

The spelling of 1005001001111 in words is "one trillion, five billion, one million, one thousand, one hundred eleven".