1005051050006 has 16 divisors (see below), whose sum is σ = 1523449316400. Its totient is φ = 497261537568.

The previous prime is 1005051049999. The next prime is 1005051050009. The reversal of 1005051050006 is 6000501505001.

It is a super-2 number, since 2×1005051050006² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005051050009) 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 7 ways as a sum of consecutive naturals, for example, 6656741 + ... + 6806048.

It is an arithmetic number, because the mean of its divisors is an integer number (95215582275).

Almost surely, 2^{1005051050006} is an apocalyptic number.

1005051050006 is a deficient number, since it is larger than the sum of its proper divisors (518398266394).

1005051050006 is a wasteful number, since it uses less digits than its factorization.

1005051050006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13463183.

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 1005051050006 its reverse (6000501505001), we get a palindrome (7005552555007).

It can be divided in two parts, 100505 and 1050006, that added together give a palindrome (1150511).

The spelling of 1005051050006 in words is "one trillion, five billion, fifty-one million, fifty thousand, six".