25909731225 has 225 divisors, whose sum is σ = 56766895053. Its totient is φ = 11682195840.

The previous prime is 25909731187. The next prime is 25909731299. The reversal of 25909731225 is 52213790952.

The square root of 25909731225 is 160965.

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

25909731225 is a `hidden beast` number, since 2 + 590 + 9 + 7 + 31 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 141776649 + 25767954576 = 11907^2 + 160524^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 25909731225 - 2¹³ = 25909723033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 224 ways as a sum of consecutive naturals, for example, 354927789 + ... + 354927861.

Almost surely, 2^25909731225 is an apocalyptic number.

25909731225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25909731225 is the 160965-th square number.

25909731225 is the 80483-rd centered octagonal number.

It is an amenable number.

25909731225 is an abundant number, since it is smaller than the sum of its proper divisors (30857163828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25909731225 is an frugal number, since it uses more digits than its factorization.

25909731225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 25909731225 in words is "twenty-five billion, nine hundred nine million, seven hundred thirty-one thousand, two hundred twenty-five".