71775288289 has 8 divisors (see below), whose sum is σ = 74268884520. Its totient is φ = 69282931200.

The previous prime is 71775288283. The next prime is 71775288313. The reversal of 71775288289 is 98288257717.

It can be written as a sum of positive squares in 4 ways, for example, as 147865600 + 71627422689 = 12160^2 + 267633^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71775288289 - 2³ = 71775288281 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 71775288289.

It is not an unprimeable number, because it can be changed into a prime (71775288281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191152 + ... + 424369.

It is an arithmetic number, because the mean of its divisors is an integer number (9283610565).

Almost surely, 2^71775288289 is an apocalyptic number.

It is an amenable number.

71775288289 is a deficient number, since it is larger than the sum of its proper divisors (2493596231).

71775288289 is a wasteful number, since it uses less digits than its factorization.

71775288289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619571.

The product of its digits is 31610880, while the sum is 64.

It can be divided in two parts, 7177528 and 8289, that added together give a palindrome (7185817).

The spelling of 71775288289 in words is "seventy-one billion, seven hundred seventy-five million, two hundred eighty-eight thousand, two hundred eighty-nine".