25996725225 has 45 divisors (see below), whose sum is σ = 48168365223. Its totient is φ = 13861050480.

The previous prime is 25996725187. The next prime is 25996725233. The reversal of 25996725225 is 52252769952.

It is a happy number.

The square root of 25996725225 is 161235.

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

25996725225 is a `hidden beast` number, since 2 + 59 + 9 + 67 + 2 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9358821081 + 16637904144 = 96741^2 + 128988^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 25996725225 - 2¹¹ = 25996723177 is a prime.

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 44 ways as a sum of consecutive naturals, for example, 7253784 + ... + 7257366.

Almost surely, 2^25996725225 is an apocalyptic number.

25996725225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25996725225 is the 161235-th square number.

25996725225 is the 80618-th centered octagonal number.

It is an amenable number.

25996725225 is a deficient number, since it is larger than the sum of its proper divisors (22171639998).

25996725225 is an frugal number, since it uses more digits than its factorization.

25996725225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188 (or 3591 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 25996725225 in words is "twenty-five billion, nine hundred ninety-six million, seven hundred twenty-five thousand, two hundred twenty-five".