961000000000001 has 8 divisors (see below), whose sum is σ = 1062893970894504. Its totient is φ = 863101871101440.

The previous prime is 960999999999989. The next prime is 961000000000067. The reversal of 961000000000001 is 100000000000169.

It is a Cunningham number, because it is equal to 31000000²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 3991684326400 + 957008315673601 = 1997920^2 + 30935551^2 .

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 961000000000001 - 2⁶ = 960999999999937 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 961000000000001.

It is not an unprimeable number, because it can be changed into a prime (961000000000091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 998960498480 + ... + 998960499441.

It is an arithmetic number, because the mean of its divisors is an integer number (132861746361813).

Almost surely, 2^{961000000000001} is an apocalyptic number.

It is an amenable number.

961000000000001 is a deficient number, since it is larger than the sum of its proper divisors (101893970894503).

961000000000001 is a wasteful number, since it uses less digits than its factorization.

961000000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997920997971.

The product of its (nonzero) digits is 54, while the sum is 17.

The spelling of 961000000000001 in words is "nine hundred sixty-one trillion, one", and thus it is an aban number.