1005746075641 has 4 divisors (see below), whose sum is σ = 1006371152500. Its totient is φ = 1005120998784.

The previous prime is 1005746075591. The next prime is 1005746075651. The reversal of 1005746075641 is 1465706475001.

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 552897832041 + 452848243600 = 743571^2 + 672940^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005746075641 - 2⁷ = 1005746075513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005746075591 and 1005746075600.

It is not an unprimeable number, because it can be changed into a prime (1005746075651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 312536016 + ... + 312539233.

It is an arithmetic number, because the mean of its divisors is an integer number (251592788125).

Almost surely, 2^{1005746075641} is an apocalyptic number.

It is an amenable number.

1005746075641 is a deficient number, since it is larger than the sum of its proper divisors (625076859).

1005746075641 is an equidigital number, since it uses as much as digits as its factorization.

1005746075641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625076858.

The product of its (nonzero) digits is 705600, while the sum is 46.

It can be divided in two parts, 10057460 and 75641, that added together give a palindrome (10133101).

The spelling of 1005746075641 in words is "one trillion, five billion, seven hundred forty-six million, seventy-five thousand, six hundred forty-one".