25501164012225 has 144 divisors (see below), whose sum is σ = 50258019352320. Its totient is φ = 12257835110400.

The previous prime is 25501164012187. The next prime is 25501164012239. The reversal of 25501164012225 is 52221046110552.

25501164012225 is a `hidden beast` number, since 2 + 5 + 5 + 0 + 1 + 1 + 640 + 1 + 2 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 25501164012225 - 2¹⁰ = 25501164011201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 25501164012225.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 151061416 + ... + 151230134.

It is an arithmetic number, because the mean of its divisors is an integer number (349014023280).

Almost surely, 2^{25501164012225} is an apocalyptic number.

25501164012225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25501164012225 is a deficient number, since it is larger than the sum of its proper divisors (24756855340095).

25501164012225 is a wasteful number, since it uses less digits than its factorization.

25501164012225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169272 (or 169264 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 25501164012225 in words is "twenty-five trillion, five hundred one billion, one hundred sixty-four million, twelve thousand, two hundred twenty-five".