1006892771321 has 8 divisors (see below), whose sum is σ = 1012172244384. Its totient is φ = 1001625422400.

The previous prime is 1006892771309. The next prime is 1006892771327. The reversal of 1006892771321 is 1231772986001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006892771321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006892771327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2864480 + ... + 3196721.

It is an arithmetic number, because the mean of its divisors is an integer number (126521530548).

Almost surely, 2^{1006892771321} is an apocalyptic number.

It is an amenable number.

1006892771321 is a deficient number, since it is larger than the sum of its proper divisors (5279473063).

1006892771321 is an equidigital number, since it uses as much as digits as its factorization.

1006892771321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6062071.

The product of its (nonzero) digits is 254016, while the sum is 47.

The spelling of 1006892771321 in words is "one trillion, six billion, eight hundred ninety-two million, seven hundred seventy-one thousand, three hundred twenty-one".