1000816961 has 2 divisors, whose sum is σ = 1000816962. Its totient is φ = 1000816960.

The previous prime is 1000816939. The next prime is 1000816991. The reversal of 1000816961 is 1696180001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 999508225 + 1308736 = 31615^2 + 1144^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000816961 - 2²² = 996622657 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000816991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500408480 + 500408481.

It is an arithmetic number, because the mean of its divisors is an integer number (500408481).

Almost surely, 2^1000816961 is an apocalyptic number.

It is an amenable number.

1000816961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000816961 is an equidigital number, since it uses as much as digits as its factorization.

1000816961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 1000816961 is about 31635.6912521285. The cubic root of 1000816961 is about 1000.2722462086.

Adding to 1000816961 its reverse (1696180001), we get a palindrome (2696996962).

The spelling of 1000816961 in words is "one billion, eight hundred sixteen thousand, nine hundred sixty-one".