1006011006001 has 3 divisors (see below), whose sum is σ = 1006012009003. Its totient is φ = 1006010003000.

The previous prime is 1006011005971. The next prime is 1006011006043. The reversal of 1006011006001 is 1006001106001.

The square root of 1006011006001 is 1003001.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 637124836401 + 368886169600 = 798201^2 + 607360^2 .

It is not a de Polignac number, because 1006011006001 - 2¹⁷ = 1006010874929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006011006071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 501501 + ... + 1504501.

Almost surely, 2^{1006011006001} is an apocalyptic number.

1006011006001 is the 1003001-st square number.

1006011006001 is the 501501-st centered octagonal number.

It is an amenable number.

1006011006001 is a deficient number, since it is larger than the sum of its proper divisors (1003002).

1006011006001 is an frugal number, since it uses more digits than its factorization.

1006011006001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006002 (or 1003001 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Multiplying 1006011006001 by its sum of digits (16), we get a square (16096176096016 = 4012004²).

Multiplying 1006011006001 by its product of nonzero digits (36), we get a square (36216396216036 = 6018006²).

The spelling of 1006011006001 in words is "one trillion, six billion, eleven million, six thousand, one".