1005011005775 has 24 divisors (see below), whose sum is σ = 1433676286464. Its totient is φ = 684586476000.

The previous prime is 1005011005759. The next prime is 1005011005777. The reversal of 1005011005775 is 5775001105001.

It is a happy number.

It is not a de Polignac number, because 1005011005775 - 2⁴ = 1005011005759 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005011005777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18989867 + ... + 19042716.

It is an arithmetic number, because the mean of its divisors is an integer number (59736511936).

Almost surely, 2^{1005011005775} is an apocalyptic number.

1005011005775 is a deficient number, since it is larger than the sum of its proper divisors (428665280689).

1005011005775 is a wasteful number, since it uses less digits than its factorization.

1005011005775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38032751 (or 38032746 counting only the distinct ones).

The product of its (nonzero) digits is 6125, while the sum is 32.

The spelling of 1005011005775 in words is "one trillion, five billion, eleven million, five thousand, seven hundred seventy-five".