1001050312960 has 72 divisors (see below), whose sum is σ = 2399103486360. Its totient is φ = 400207183872.

The previous prime is 1001050312883. The next prime is 1001050312981. The reversal of 1001050312960 is 692130501001.

It can be written as a sum of positive squares in 4 ways, for example, as 355483058176 + 645567254784 = 596224^2 + 803472^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2210914 + ... + 2624926.

It is an arithmetic number, because the mean of its divisors is an integer number (33320881755).

Almost surely, 2^{1001050312960} is an apocalyptic number.

1001050312960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001050312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199551743180).

1001050312960 is an abundant number, since it is smaller than the sum of its proper divisors (1398053173400).

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

1001050312960 is an equidigital number, since it uses as much as digits as its factorization.

1001050312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415923 (or 415909 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

Adding to 1001050312960 its reverse (692130501001), we get a palindrome (1693180813961).

The spelling of 1001050312960 in words is "one trillion, one billion, fifty million, three hundred twelve thousand, nine hundred sixty".