26564110225 has 27 divisors (see below), whose sum is σ = 33892284531. Its totient is φ = 20653459200.

The previous prime is 26564110213. The next prime is 26564110247. The reversal of 26564110225 is 52201146562.

The square root of 26564110225 is 162985.

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

It can be written as a sum of positive squares in 13 ways, for example, as 14344134289 + 12219975936 = 119767^2 + 110544^2 .

It is not a de Polignac number, because 26564110225 - 2²¹ = 26562013073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30151785 + ... + 30152665.

Almost surely, 2^26564110225 is an apocalyptic number.

26564110225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26564110225 is the 162985-th square number.

26564110225 is the 81493-rd centered octagonal number.

It is an amenable number.

26564110225 is a deficient number, since it is larger than the sum of its proper divisors (7328174306).

26564110225 is an frugal number, since it uses more digits than its factorization.

26564110225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 26564110225 its reverse (52201146562), we get a palindrome (78765256787).

The spelling of 26564110225 in words is "twenty-six billion, five hundred sixty-four million, one hundred ten thousand, two hundred twenty-five".