26989561225 has 81 divisors (see below), whose sum is σ = 38471807829. Its totient is φ = 18767918400.

The previous prime is 26989561219. The next prime is 26989561243. The reversal of 26989561225 is 52216598962.

The square root of 26989561225 is 164285.

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

It can be written as a sum of positive squares in 4 ways, for example, as 370986121 + 26618575104 = 19261^2 + 163152^2 .

It is not a de Polignac number, because 26989561225 - 2⁹ = 26989560713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 262034524 + ... + 262034626.

Almost surely, 2^26989561225 is an apocalyptic number.

26989561225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26989561225 is the 164285-th square number.

26989561225 is the 82143-rd centered octagonal number.

It is an amenable number.

26989561225 is a deficient number, since it is larger than the sum of its proper divisors (11482246604).

26989561225 is a wasteful number, since it uses less digits than its factorization.

26989561225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 55.

The spelling of 26989561225 in words is "twenty-six billion, nine hundred eighty-nine million, five hundred sixty-one thousand, two hundred twenty-five".