25325251056401 has 8 divisors (see below), whose sum is σ = 25331020795080. Its totient is φ = 25319481965568.

The previous prime is 25325251056377. The next prime is 25325251056449. The reversal of 25325251056401 is 10465015252352.

It is a Cunningham number, because it is equal to 5032420²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 15337217708176 + 9988033348225 = 3916276^2 + 3160385^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 25325251056401 - 2⁶ = 25325251056337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25325251056701) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 82800185 + ... + 83105481.

It is an arithmetic number, because the mean of its divisors is an integer number (3166377599385).

Almost surely, 2^{25325251056401} is an apocalyptic number.

It is an amenable number.

25325251056401 is a deficient number, since it is larger than the sum of its proper divisors (5769738679).

25325251056401 is a wasteful number, since it uses less digits than its factorization.

25325251056401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323923.

The product of its (nonzero) digits is 360000, while the sum is 41.

The spelling of 25325251056401 in words is "twenty-five trillion, three hundred twenty-five billion, two hundred fifty-one million, fifty-six thousand, four hundred one".