25685511289 has 9 divisors (see below), whose sum is σ = 25894086543. Its totient is φ = 25478606592.

The previous prime is 25685511281. The next prime is 25685511329. The reversal of 25685511289 is 98211558652.

The square root of 25685511289 is 160267.

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., 20299125625 + 5386385664 = 142475^2 + 73392^2 .

It is not a de Polignac number, because 25685511289 - 2³ = 25685511281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25685511281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22276537 + ... + 22277689.

It is an arithmetic number, because the mean of its divisors is an integer number (2877120727).

Almost surely, 2^25685511289 is an apocalyptic number.

25685511289 is the 160267-th square number.

25685511289 is the 80134-th centered octagonal number.

It is an amenable number.

25685511289 is a deficient number, since it is larger than the sum of its proper divisors (208575254).

25685511289 is an frugal number, since it uses more digits than its factorization.

25685511289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 1292 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 52.

The spelling of 25685511289 in words is "twenty-five billion, six hundred eighty-five million, five hundred eleven thousand, two hundred eighty-nine".