65672775289 has 9 divisors (see below), whose sum is σ = 72188876431. Its totient is φ = 59699960320.

The previous prime is 65672775263. The next prime is 65672775323. The reversal of 65672775289 is 98257727656.

The square root of 65672775289 is 256267.

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., 6724820025 + 58947955264 = 82005^2 + 242792^2 .

It is not a de Polignac number, because 65672775289 - 2⁹ = 65672774777 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 65672775289.

It is not an unprimeable number, because it can be changed into a prime (65672775229) 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 8 ways as a sum of consecutive naturals, for example, 2807289 + ... + 2830585.

Almost surely, 2^65672775289 is an apocalyptic number.

65672775289 is the 256267-th square number.

65672775289 is the 128134-th centered octagonal number.

It is an amenable number.

65672775289 is a deficient number, since it is larger than the sum of its proper divisors (6516101142).

65672775289 is an frugal number, since it uses more digits than its factorization.

65672775289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46616 (or 23308 counting only the distinct ones).

The product of its digits is 88905600, while the sum is 64.

Multiplying 65672775289 by its sum of digits (64), we get a square (4203057618496 = 2050136²).

The spelling of 65672775289 in words is "sixty-five billion, six hundred seventy-two million, seven hundred seventy-five thousand, two hundred eighty-nine".