1002784872001 has 12 divisors (see below), whose sum is σ = 1102695537636. Its totient is φ = 911241393920.

The previous prime is 1002784871971. The next prime is 1002784872029.

1002784872001 is nontrivially palindromic in base 10.

1002784872001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34086021376 + 968698850625 = 184624^2 + 984225^2 .

It is not a de Polignac number, because 1002784872001 - 2¹³ = 1002784863809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002784872091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1442056 + ... + 2021161.

It is an arithmetic number, because the mean of its divisors is an integer number (91891294803).

Almost surely, 2^{1002784872001} is an apocalyptic number.

1002784872001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002784872001 is a deficient number, since it is larger than the sum of its proper divisors (99910665635).

1002784872001 is a wasteful number, since it uses less digits than its factorization.

1002784872001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465632 (or 3465621 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 40.

The spelling of 1002784872001 in words is "one trillion, two billion, seven hundred eighty-four million, eight hundred seventy-two thousand, one".