289742128729 has 9 divisors (see below), whose sum is σ = 291355627773. Its totient is φ = 288137524992.

The previous prime is 289742128657. The next prime is 289742128747. The reversal of 289742128729 is 927821247982.

The square root of 289742128729 is 538277.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5708558025 + 284033570704 = 75555^2 + 532948^2 .

It is not a de Polignac number, because 289742128729 - 2¹³ = 289742120537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (289742128799) 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, 103886067 + ... + 103888855.

Almost surely, 2^289742128729 is an apocalyptic number.

289742128729 is the 538277-th square number.

289742128729 is the 269139-th centered octagonal number.

It is an amenable number.

289742128729 is a deficient number, since it is larger than the sum of its proper divisors (1613499044).

289742128729 is an frugal number, since it uses more digits than its factorization.

289742128729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5964 (or 2982 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 61.

The spelling of 289742128729 in words is "two hundred eighty-nine billion, seven hundred forty-two million, one hundred twenty-eight thousand, seven hundred twenty-nine".