287725829525289 has 9 divisors (see below), whose sum is σ = 415604049485079. Its totient is φ = 191817185758560.

The previous prime is 287725829525237. The next prime is 287725829525293. The reversal of 287725829525289 is 982525928527782.

The square root of 287725829525289 is 16962483.

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

287725829525289 is a `hidden beast` number, since 2 + 8 + 7 + 7 + 2 + 5 + 8 + 2 + 9 + 525 + 2 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65693180947689 + 222032648577600 = 8105133^2 + 14900760^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 287725829525289 - 2²³ = 287725821136681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (287725829525789) 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, 48060369 + ... + 53714529.

Almost surely, 2^{287725829525289} is an apocalyptic number.

287725829525289 is the 16962483-rd square number.

287725829525289 is the 8481242-nd centered octagonal number.

It is an amenable number.

287725829525289 is a deficient number, since it is larger than the sum of its proper divisors (127878219959790).

287725829525289 is an frugal number, since it uses more digits than its factorization.

287725829525289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11308328 (or 5654164 counting only the distinct ones).

The product of its digits is 8128512000, while the sum is 81.

The spelling of 287725829525289 in words is "two hundred eighty-seven trillion, seven hundred twenty-five billion, eight hundred twenty-nine million, five hundred twenty-five thousand, two hundred eighty-nine".