25819669225 has 27 divisors (see below), whose sum is σ = 37251669591. Its totient is φ = 17701059600.

The previous prime is 25819669217. The next prime is 25819669231. The reversal of 25819669225 is 52296691852.

The square root of 25819669225 is 160685.

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

It can be written as a sum of positive squares in only one way, i.e., 9295080921 + 16524588304 = 96411^2 + 128548^2 .

It is not a de Polignac number, because 25819669225 - 2³ = 25819669217 is a prime.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 5621680 + ... + 5626270.

Almost surely, 2^25819669225 is an apocalyptic number.

25819669225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25819669225 is the 160685-th square number.

25819669225 is the 80343-rd centered octagonal number.

It is an amenable number.

25819669225 is a deficient number, since it is larger than the sum of its proper divisors (11432000366).

25819669225 is an frugal number, since it uses more digits than its factorization.

25819669225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9206 (or 4603 counting only the distinct ones).

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

The spelling of 25819669225 in words is "twenty-five billion, eight hundred nineteen million, six hundred sixty-nine thousand, two hundred twenty-five".