193791007089 has 45 divisors (see below), whose sum is σ = 296972149969. Its totient is φ = 125937279360.

The previous prime is 193791007063. The next prime is 193791007139. The reversal of 193791007089 is 980700197391.

The square root of 193791007089 is 440217.

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

193791007089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 53021970225 + 140769036864 = 230265^2 + 375192^2 .

It is not a de Polignac number, because 193791007089 - 2¹¹ = 193791005041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (193791047089) 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 44 ways as a sum of consecutive naturals, for example, 162439477 + ... + 162440669.

Almost surely, 2^193791007089 is an apocalyptic number.

193791007089 is the 440217-th square number.

193791007089 is the 220109-th centered octagonal number.

It is an amenable number.

193791007089 is a deficient number, since it is larger than the sum of its proper divisors (103181142880).

193791007089 is an frugal number, since it uses more digits than its factorization.

193791007089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 54.

The spelling of 193791007089 in words is "one hundred ninety-three billion, seven hundred ninety-one million, seven thousand, eighty-nine".