1005000510091 has 6 divisors (see below), whose sum is σ = 1060679209092. Its totient is φ = 952105746060.

The previous prime is 1005000510077. The next prime is 1005000510131. The reversal of 1005000510091 is 1900150005001.

It is not a de Polignac number, because 1005000510091 - 2¹⁵ = 1005000477323 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005000510011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1391967105 + ... + 1391967826.

It is an arithmetic number, because the mean of its divisors is an integer number (176779868182).

Almost surely, 2^{1005000510091} is an apocalyptic number.

1005000510091 is a deficient number, since it is larger than the sum of its proper divisors (55678699001).

1005000510091 is an equidigital number, since it uses as much as digits as its factorization.

1005000510091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783934969 (or 2783934950 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 22.

Adding to 1005000510091 its reverse (1900150005001), we get a palindrome (2905150515092).

The spelling of 1005000510091 in words is "one trillion, five billion, five hundred ten thousand, ninety-one".