1005000001027 has 32 divisors (see below), whose sum is σ = 1136923361280. Its totient is φ = 880406208000.

The previous prime is 1005000001013. The next prime is 1005000001069. The reversal of 1005000001027 is 7201000005001.

It is not a de Polignac number, because 1005000001027 - 2¹⁹ = 1004999476739 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005000001027.

It is not an unprimeable number, because it can be changed into a prime (1005000001007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39443902 + ... + 39469372.

It is an arithmetic number, because the mean of its divisors is an integer number (35528855040).

Almost surely, 2^{1005000001027} is an apocalyptic number.

1005000001027 is a deficient number, since it is larger than the sum of its proper divisors (131923360253).

1005000001027 is a wasteful number, since it uses less digits than its factorization.

1005000001027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26595.

The product of its (nonzero) digits is 70, while the sum is 16.

Adding to 1005000001027 its reverse (7201000005001), we get a palindrome (8206000006028).

The spelling of 1005000001027 in words is "one trillion, five billion, one thousand, twenty-seven".