9311963505601 has 15 divisors (see below), whose sum is σ = 9894891361381. Its totient is φ = 8763370924576.

The previous prime is 9311963505557. The next prime is 9311963505641. The reversal of 9311963505601 is 1065053691139.

The square root of 9311963505601 is 3051551.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2889996600001 + 6421966905600 = 1699999^2 + 2534160^2 .

It is a de Polignac number, because none of the positive numbers 2^k-9311963505601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9311963505641) 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 14 ways as a sum of consecutive naturals, for example, 881892960 + ... + 881903518.

Almost surely, 2^{9311963505601} is an apocalyptic number.

9311963505601 is the 3051551-st square number.

9311963505601 is the 1525776-th centered octagonal number.

It is an amenable number.

9311963505601 is a deficient number, since it is larger than the sum of its proper divisors (582927855780).

9311963505601 is an frugal number, since it uses more digits than its factorization.

9311963505601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21186 (or 10576 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 49.

Multiplying 9311963505601 by its sum of digits (49), we get a square (456286211774449 = 21360857²).

The spelling of 9311963505601 in words is "nine trillion, three hundred eleven billion, nine hundred sixty-three million, five hundred five thousand, six hundred one".