1006978827971 has 4 divisors (see below), whose sum is σ = 1006991077752. Its totient is φ = 1006966578192.

The previous prime is 1006978827941. The next prime is 1006978827973. The reversal of 1006978827971 is 1797288796001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 1006978827971 - 2²² = 1006974633667 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006978827898 and 1006978827907.

It is not an unprimeable number, because it can be changed into a prime (1006978827973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6000746 + ... + 6166271.

It is an arithmetic number, because the mean of its divisors is an integer number (251747769438).

Almost surely, 2^{1006978827971} is an apocalyptic number.

1006978827971 is a deficient number, since it is larger than the sum of its proper divisors (12249781).

1006978827971 is an equidigital number, since it uses as much as digits as its factorization.

1006978827971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12249780.

The product of its (nonzero) digits is 21337344, while the sum is 65.

The spelling of 1006978827971 in words is "one trillion, six billion, nine hundred seventy-eight million, eight hundred twenty-seven thousand, nine hundred seventy-one".