1006978827973 has 2 divisors, whose sum is σ = 1006978827974. Its totient is φ = 1006978827972.

The previous prime is 1006978827941. The next prime is 1006978827983. The reversal of 1006978827973 is 3797288796001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 997347760929 + 9631067044 = 998673^2 + 98138^2 .

It is an emirp because it is prime and its reverse (3797288796001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006978827973 - 2⁵ = 1006978827941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006978827899 and 1006978827908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006978827913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503489413986 + 503489413987.

It is an arithmetic number, because the mean of its divisors is an integer number (503489413987).

Almost surely, 2^{1006978827973} is an apocalyptic number.

It is an amenable number.

1006978827973 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006978827973 is an equidigital number, since it uses as much as digits as its factorization.

1006978827973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64012032, while the sum is 67.

The spelling of 1006978827973 in words is "one trillion, six billion, nine hundred seventy-eight million, eight hundred twenty-seven thousand, nine hundred seventy-three".