1005051005091 has 48 divisors (see below), whose sum is σ = 1677439108800. Its totient is φ = 568010833920.

The previous prime is 1005051005011. The next prime is 1005051005093. The reversal of 1005051005091 is 1905001505001.

1005051005091 is a `hidden beast` number, since 1 + 0 + 0 + 50 + 5 + 100 + 509 + 1 = 666.

It is not a de Polignac number, because 1005051005091 - 2⁹ = 1005051004579 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005051005093) 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 47 ways as a sum of consecutive naturals, for example, 1957411 + ... + 2416931.

It is an arithmetic number, because the mean of its divisors is an integer number (34946648100).

Almost surely, 2^{1005051005091} is an apocalyptic number.

1005051005091 is a deficient number, since it is larger than the sum of its proper divisors (672388103709).

1005051005091 is a wasteful number, since it uses less digits than its factorization.

1005051005091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459916 (or 459913 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 27.

The spelling of 1005051005091 in words is "one trillion, five billion, fifty-one million, five thousand, ninety-one".