1006442206511 has 16 divisors (see below), whose sum is σ = 1177157318400. Its totient is φ = 842695073088.

The previous prime is 1006442206507. The next prime is 1006442206519. The reversal of 1006442206511 is 1156022446001.

1006442206511 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1006442206511 - 2² = 1006442206507 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006442206519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9680081 + ... + 9783498.

It is an arithmetic number, because the mean of its divisors is an integer number (73572332400).

Almost surely, 2^{1006442206511} is an apocalyptic number.

1006442206511 is a deficient number, since it is larger than the sum of its proper divisors (170715111889).

1006442206511 is an equidigital number, since it uses as much as digits as its factorization.

1006442206511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19463758.

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 1006442206511 in words is "one trillion, six billion, four hundred forty-two million, two hundred six thousand, five hundred eleven".