1006073328061 has 2 divisors, whose sum is σ = 1006073328062. Its totient is φ = 1006073328060.

The previous prime is 1006073328049. The next prime is 1006073328107. The reversal of 1006073328061 is 1608233706001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 937664925561 + 68408402500 = 968331^2 + 261550^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006073328061 - 2²⁷ = 1005939110333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1006073328061.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006073328461) 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 as a sum of consecutive naturals, namely, 503036664030 + 503036664031.

It is an arithmetic number, because the mean of its divisors is an integer number (503036664031).

Almost surely, 2^{1006073328061} is an apocalyptic number.

It is an amenable number.

1006073328061 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006073328061 is an equidigital number, since it uses as much as digits as its factorization.

1006073328061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 1006073328061 in words is "one trillion, six billion, seventy-three million, three hundred twenty-eight thousand, sixty-one".