25401266217225 has 240 divisors, whose sum is σ = 52557145502400. Its totient is φ = 12052790046720.

The previous prime is 25401266217221. The next prime is 25401266217287. The reversal of 25401266217225 is 52271266210452.

25401266217225 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 12 + 6 + 621 + 7 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 25401266217225 - 2² = 25401266217221 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (25401266217221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 298869786 + ... + 298954764.

It is an arithmetic number, because the mean of its divisors is an integer number (218988106260).

Almost surely, 2^{25401266217225} is an apocalyptic number.

25401266217225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25401266217225 is an abundant number, since it is smaller than the sum of its proper divisors (27155879285175).

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

25401266217225 is a wasteful number, since it uses less digits than its factorization.

25401266217225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85494 (or 85480 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 25401266217225 in words is "twenty-five trillion, four hundred one billion, two hundred sixty-six million, two hundred seventeen thousand, two hundred twenty-five".