9013691202961 has 3 divisors (see below), whose sum is σ = 9013694205243. Its totient is φ = 9013688200680.

The previous prime is 9013691202871. The next prime is 9013691202973. The reversal of 9013691202961 is 1692021963109.

The square root of 9013691202961 is 3002281.

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

9013691202961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 6261410202961 + 2752281000000 = 2502281^2 + 1659000^2 .

It is not a de Polignac number, because 9013691202961 - 2¹³ = 9013691194769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9013691202991) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1501141 + ... + 4503421.

It is an arithmetic number, because the mean of its divisors is an integer number (3004564735081).

Almost surely, 2^{9013691202961} is an apocalyptic number.

9013691202961 is the 3002281-st square number.

9013691202961 is the 1501141-st centered octagonal number.

It is an amenable number.

9013691202961 is a deficient number, since it is larger than the sum of its proper divisors (3002282).

9013691202961 is an frugal number, since it uses more digits than its factorization.

9013691202961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6004562 (or 3002281 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 49.

Multiplying 9013691202961 by its sum of digits (49), we get a square (441670868945089 = 21015967²).

The spelling of 9013691202961 in words is "nine trillion, thirteen billion, six hundred ninety-one million, two hundred two thousand, nine hundred sixty-one".