657369073089 has 21 divisors (see below), whose sum is σ = 985635562003. Its totient is φ = 438231454632.

The previous prime is 657369073027. The next prime is 657369073091. The reversal of 657369073089 is 980370963756.

The square root of 657369073089 is 810783.

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., 648641776689 + 8727296400 = 805383^2 + 93420^2 .

It is not a de Polignac number, because 657369073089 - 2¹¹ = 657369071041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (657369073099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 21876127 + ... + 21906155.

Almost surely, 2^657369073089 is an apocalyptic number.

657369073089 is the 810783-rd square number.

657369073089 is the 405392-nd centered octagonal number.

It is an amenable number.

657369073089 is a deficient number, since it is larger than the sum of its proper divisors (328266488914).

657369073089 is an frugal number, since it uses more digits than its factorization.

657369073089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60076 (or 30032 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 657369073089 in words is "six hundred fifty-seven billion, three hundred sixty-nine million, seventy-three thousand, eighty-nine".