26128301212225 has 27 divisors (see below), whose sum is σ = 33023643230683. Its totient is φ = 20507188307840.

The previous prime is 26128301212193. The next prime is 26128301212241. The reversal of 26128301212225 is 52221210382162.

The square root of 26128301212225 is 5111585.

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 5948296621569 + 20180004590656 = 2438913^2 + 4492216^2 .

It is not a de Polignac number, because 26128301212225 - 2⁵ = 26128301212193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1354560381 + ... + 1354579669.

Almost surely, 2^{26128301212225} is an apocalyptic number.

26128301212225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26128301212225 is the 5111585-th square number.

26128301212225 is the 2555793-rd centered octagonal number.

It is an amenable number.

26128301212225 is a deficient number, since it is larger than the sum of its proper divisors (6895342018458).

26128301212225 is an frugal number, since it uses more digits than its factorization.

26128301212225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38694 (or 19347 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

Adding to 26128301212225 its reverse (52221210382162), we get a palindrome (78349511594387).

The spelling of 26128301212225 in words is "twenty-six trillion, one hundred twenty-eight billion, three hundred one million, two hundred twelve thousand, two hundred twenty-five".