1000001001060 has 144 divisors (see below), whose sum is σ = 3160841065200. Its totient is φ = 255591985152.

The previous prime is 1000001001059. The next prime is 1000001001091. The reversal of 1000001001060 is 601001000001.

It can be written as a sum of positive squares in 8 ways, for example, as 94641139044 + 905359862016 = 307638^2 + 951504^2 .

It is a super-2 number, since 2×1000001001060² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15976 + ... + 1414304.

It is an arithmetic number, because the mean of its divisors is an integer number (21950285175).

Almost surely, 2^{1000001001060} is an apocalyptic number.

1000001001060 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 1000001001060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580420532600).

1000001001060 is an abundant number, since it is smaller than the sum of its proper divisors (2160840064140).

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

1000001001060 is a wasteful number, since it uses less digits than its factorization.

1000001001060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398510 (or 1398505 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1000001001060 its reverse (601001000001), we get a palindrome (1601002001061).

The spelling of 1000001001060 in words is "one trillion, one million, one thousand, sixty".