1005051051006 has 32 divisors (see below), whose sum is σ = 2022938592000. Its totient is φ = 332882161920.

The previous prime is 1005051050999. The next prime is 1005051051019. The reversal of 1005051051006 is 6001501505001.

It is a super-2 number, since 2×1005051051006² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312846 + ... + 1451886.

It is an arithmetic number, because the mean of its divisors is an integer number (63216831000).

Almost surely, 2^{1005051051006} is an apocalyptic number.

1005051051006 is an abundant number, since it is smaller than the sum of its proper divisors (1017887540994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005051051006 is a wasteful number, since it uses less digits than its factorization.

1005051051006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139984.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 1005051051006 its reverse (6001501505001), we get a palindrome (7006552556007).

It can be divided in two parts, 100505 and 1051006, that added together give a palindrome (1151511).

The spelling of 1005051051006 in words is "one trillion, five billion, fifty-one million, fifty-one thousand, six".