657343128289 has 9 divisors (see below), whose sum is σ = 667355802771. Its totient is φ = 647478526200.

The previous prime is 657343128287. The next prime is 657343128293. The reversal of 657343128289 is 982821343756.

It is a happy number.

The square root of 657343128289 is 810767.

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

It can be written as a sum of positive squares in only one way, i.e., 657125860689 + 217267600 = 810633^2 + 14740^2 .

It is not a de Polignac number, because 657343128289 - 2¹ = 657343128287 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (657343128283) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54315339 + ... + 54327439.

Almost surely, 2^657343128289 is an apocalyptic number.

657343128289 is the 810767-th square number.

657343128289 is the 405384-th centered octagonal number.

It is an amenable number.

657343128289 is a deficient number, since it is larger than the sum of its proper divisors (10012674482).

657343128289 is an frugal number, since it uses more digits than its factorization.

657343128289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24336 (or 12168 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 58.

The spelling of 657343128289 in words is "six hundred fifty-seven billion, three hundred forty-three million, one hundred twenty-eight thousand, two hundred eighty-nine".