1001001010591 has 2 divisors, whose sum is σ = 1001001010592. Its totient is φ = 1001001010590.

The previous prime is 1001001010589. The next prime is 1001001010601. The reversal of 1001001010591 is 1950101001001.

1001001010591 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1001001010591 - 2¹ = 1001001010589 is a prime.

Together with 1001001010589, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001001010991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500505295 + 500500505296.

It is an arithmetic number, because the mean of its divisors is an integer number (500500505296).

Almost surely, 2^{1001001010591} is an apocalyptic number.

1001001010591 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001001010591 is an equidigital number, since it uses as much as digits as its factorization.

1001001010591 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45, while the sum is 19.

Adding to 1001001010591 its reverse (1950101001001), we get a palindrome (2951102011592).

The spelling of 1001001010591 in words is "one trillion, one billion, one million, ten thousand, five hundred ninety-one".