1005051005051 has 16 divisors (see below), whose sum is σ = 1026646182144. Its totient is φ = 983672907264.

The previous prime is 1005051005011. The next prime is 1005051005093. The reversal of 1005051005051 is 1505001505001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1005051005051 - 2³⁸ = 730173098107 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005051005011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28355126 + ... + 28390548.

It is an arithmetic number, because the mean of its divisors is an integer number (64165386384).

Almost surely, 2^{1005051005051} is an apocalyptic number.

1005051005051 is a deficient number, since it is larger than the sum of its proper divisors (21595177093).

1005051005051 is a wasteful number, since it uses less digits than its factorization.

1005051005051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38470.

The product of its (nonzero) digits is 625, while the sum is 23.

The spelling of 1005051005051 in words is "one trillion, five billion, fifty-one million, five thousand, fifty-one".