1001000091005 has 8 divisors (see below), whose sum is σ = 1211830199352. Its totient is φ = 793713346048.

The previous prime is 1001000090899. The next prime is 1001000091029. The reversal of 1001000091005 is 5001900001001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20688219556 + 980311871449 = 143834^2 + 990107^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001000091005 - 2¹⁴ = 1001000074621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 885840224 + ... + 885841353.

It is an arithmetic number, because the mean of its divisors is an integer number (151478774919).

Almost surely, 2^{1001000091005} is an apocalyptic number.

It is an amenable number.

1001000091005 is a deficient number, since it is larger than the sum of its proper divisors (210830108347).

1001000091005 is a wasteful number, since it uses less digits than its factorization.

1001000091005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771681695.

The product of its (nonzero) digits is 45, while the sum is 17.

Adding to 1001000091005 its reverse (5001900001001), we get a palindrome (6002900092006).

The spelling of 1001000091005 in words is "one trillion, one billion, ninety-one thousand, five".