26109712225 has 27 divisors (see below), whose sum is σ = 34410645451. Its totient is φ = 19648736000.

The previous prime is 26109712207. The next prime is 26109712229. The reversal of 26109712225 is 52221790162.

The square root of 26109712225 is 161585.

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 21241022049 + 4868690176 = 145743^2 + 69776^2 .

It is not a de Polignac number, because 26109712225 - 2¹¹ = 26109710177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26109712229) 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, 13733775 + ... + 13735675.

Almost surely, 2^26109712225 is an apocalyptic number.

26109712225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26109712225 is the 161585-th square number.

26109712225 is the 80793-rd centered octagonal number.

It is an amenable number.

26109712225 is a deficient number, since it is larger than the sum of its proper divisors (8300933226).

26109712225 is an frugal number, since it uses more digits than its factorization.

26109712225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 26109712225 in words is "twenty-six billion, one hundred nine million, seven hundred twelve thousand, two hundred twenty-five".