25121164014225 has 18 divisors (see below), whose sum is σ = 44994795990326. Its totient is φ = 13397954140800.

The previous prime is 25121164014203. The next prime is 25121164014241. The reversal of 25121164014225 is 52241046112152.

25121164014225 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 1 + 1 + 640 + 1 + 4 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 81478277136 + 25039685737089 = 285444^2 + 5003967^2 .

It is not a de Polignac number, because 25121164014225 - 2⁶ = 25121164014161 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25121164014225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55824808696 + ... + 55824809145.

Almost surely, 2^{25121164014225} is an apocalyptic number.

25121164014225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25121164014225 is a deficient number, since it is larger than the sum of its proper divisors (19873631976101).

25121164014225 is a wasteful number, since it uses less digits than its factorization.

25121164014225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111649617857 (or 111649617849 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 25121164014225 in words is "twenty-five trillion, one hundred twenty-one billion, one hundred sixty-four million, fourteen thousand, two hundred twenty-five".