1005056001041 has 4 divisors (see below), whose sum is σ = 1029569562084. Its totient is φ = 980542440000.

The previous prime is 1005056000989. The next prime is 1005056001083. The reversal of 1005056001041 is 1401006505001.

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 190737460225 + 814318540816 = 436735^2 + 902396^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005056001041 - 2²⁶ = 1004988892177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1005056000998 and 1005056001016.

It is not an unprimeable number, because it can be changed into a prime (1005056000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12256780460 + ... + 12256780541.

It is an arithmetic number, because the mean of its divisors is an integer number (257392390521).

Almost surely, 2^{1005056001041} is an apocalyptic number.

It is an amenable number.

1005056001041 is a deficient number, since it is larger than the sum of its proper divisors (24513561043).

1005056001041 is an equidigital number, since it uses as much as digits as its factorization.

1005056001041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24513561042.

The product of its (nonzero) digits is 600, while the sum is 23.

The spelling of 1005056001041 in words is "one trillion, five billion, fifty-six million, one thousand, forty-one".