1005254042111 has 16 divisors (see below), whose sum is σ = 1123875799200. Its totient is φ = 891190809600.

The previous prime is 1005254042069. The next prime is 1005254042113. The reversal of 1005254042111 is 1112404525001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1005254042111 - 2⁶ = 1005254042047 is a prime.

It is a super-2 number, since 2×1005254042111² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005254042113) 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, 558695 + ... + 1524023.

It is an arithmetic number, because the mean of its divisors is an integer number (70242237450).

Almost surely, 2^{1005254042111} is an apocalyptic number.

1005254042111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1005254042111 is a deficient number, since it is larger than the sum of its proper divisors (118621757089).

1005254042111 is a wasteful number, since it uses less digits than its factorization.

1005254042111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967690.

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 1005254042111 its reverse (1112404525001), we get a palindrome (2117658567112).

The spelling of 1005254042111 in words is "one trillion, five billion, two hundred fifty-four million, forty-two thousand, one hundred eleven".