1006226226001 has 32 divisors (see below), whose sum is σ = 1078219739520. Its totient is φ = 937319040000.

The previous prime is 1006226225899. The next prime is 1006226226011.

1006226226001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1006226226001 - 2³⁹ = 456470412113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006226226011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54525826 + ... + 54544276.

It is an arithmetic number, because the mean of its divisors is an integer number (33694366860).

Almost surely, 2^{1006226226001} is an apocalyptic number.

It is an amenable number.

1006226226001 is a deficient number, since it is larger than the sum of its proper divisors (71993513519).

1006226226001 is a wasteful number, since it uses less digits than its factorization.

1006226226001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19057.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 1006226226001 in words is "one trillion, six billion, two hundred twenty-six million, two hundred twenty-six thousand, one".