25765707289 has 27 divisors (see below), whose sum is σ = 31363615647. Its totient is φ = 21103491024.

The previous prime is 25765707269. The next prime is 25765707293. The reversal of 25765707289 is 98270756752.

It is a happy number.

The square root of 25765707289 is 160517.

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., 22178655625 + 3587051664 = 148925^2 + 59892^2 .

It is not a de Polignac number, because 25765707289 - 2⁹ = 25765706777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25765707269) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25842739 + ... + 25843735.

Almost surely, 2^25765707289 is an apocalyptic number.

25765707289 is the 160517-th square number.

25765707289 is the 80259-th centered octagonal number.

It is an amenable number.

25765707289 is a deficient number, since it is larger than the sum of its proper divisors (5597908358).

25765707289 is an frugal number, since it uses more digits than its factorization.

25765707289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 58.

The spelling of 25765707289 in words is "twenty-five billion, seven hundred sixty-five million, seven hundred seven thousand, two hundred eighty-nine".