288716006329 has 9 divisors (see below), whose sum is σ = 298347071439. Its totient is φ = 279386467080.

The previous prime is 288716006303. The next prime is 288716006351. The reversal of 288716006329 is 923600617882.

The square root of 288716006329 is 537323.

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., 14504589225 + 274211417104 = 120435^2 + 523652^2 .

It is not a de Polignac number, because 288716006329 - 2⁹ = 288716005817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288716006399) 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, 16648347 + ... + 16665679.

Almost surely, 2^288716006329 is an apocalyptic number.

288716006329 is the 537323-rd square number.

288716006329 is the 268662-nd centered octagonal number.

It is an amenable number.

288716006329 is a deficient number, since it is larger than the sum of its proper divisors (9631065110).

288716006329 is an frugal number, since it uses more digits than its factorization.

288716006329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34728 (or 17364 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 288716006329 in words is "two hundred eighty-eight billion, seven hundred sixteen million, six thousand, three hundred twenty-nine".