1005143115041 has 16 divisors (see below), whose sum is σ = 1133157392640. Its totient is φ = 884630493120.

The previous prime is 1005143115023. The next prime is 1005143115049. The reversal of 1005143115041 is 1405113415001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005143115041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005143115041.

It is not an unprimeable number, because it can be changed into a prime (1005143115049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5311646 + ... + 5497623.

It is an arithmetic number, because the mean of its divisors is an integer number (70822337040).

Almost surely, 2^{1005143115041} is an apocalyptic number.

It is an amenable number.

1005143115041 is a deficient number, since it is larger than the sum of its proper divisors (128014277599).

1005143115041 is a wasteful number, since it uses less digits than its factorization.

1005143115041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10809616.

The product of its (nonzero) digits is 1200, while the sum is 26.

The spelling of 1005143115041 in words is "one trillion, five billion, one hundred forty-three million, one hundred fifteen thousand, forty-one".