961891321001 has 8 divisors (see below), whose sum is σ = 1035897390024. Its totient is φ = 887887313280.

The previous prime is 961891320983. The next prime is 961891321003. The reversal of 961891321001 is 100123198169.

It can be written as a sum of positive squares in 4 ways, for example, as 5063034025 + 956828286976 = 71155^2 + 978176^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 961891321001 - 2⁶ = 961891320937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 961891321001.

It is not an unprimeable number, because it can be changed into a prime (961891321003) 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, 532835 + ... + 1485831.

It is an arithmetic number, because the mean of its divisors is an integer number (129487173753).

Almost surely, 2^961891321001 is an apocalyptic number.

It is an amenable number.

961891321001 is a deficient number, since it is larger than the sum of its proper divisors (74006069023).

961891321001 is a wasteful number, since it uses less digits than its factorization.

961891321001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030651.

The product of its (nonzero) digits is 23328, while the sum is 41.

The spelling of 961891321001 in words is "nine hundred sixty-one billion, eight hundred ninety-one million, three hundred twenty-one thousand, one".