1001076725712 has 80 divisors (see below), whose sum is σ = 2955834564480. Its totient is φ = 285995337216.

The previous prime is 1001076725683. The next prime is 1001076725771. The reversal of 1001076725712 is 2175276701001.

It is a happy number.

It is a super-2 number, since 2×1001076725712² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3634714 + ... + 3900422.

It is an arithmetic number, because the mean of its divisors is an integer number (36947932056).

Almost surely, 2^{1001076725712} is an apocalyptic number.

1001076725712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001076725712 is an abundant number, since it is smaller than the sum of its proper divisors (1954757838768).

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

1001076725712 is a wasteful number, since it uses less digits than its factorization.

1001076725712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276940 (or 276934 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 39.

The spelling of 1001076725712 in words is "one trillion, one billion, seventy-six million, seven hundred twenty-five thousand, seven hundred twelve".