25971127241 has 2 divisors, whose sum is σ = 25971127242. Its totient is φ = 25971127240.

The previous prime is 25971127213. The next prime is 25971127243. The reversal of 25971127241 is 14272117952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25811635600 + 159491641 = 160660^2 + 12629^2 .

It is a cyclic number.

It is not a de Polignac number, because 25971127241 - 2¹⁴ = 25971110857 is a prime.

Together with 25971127243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (25971127243) 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 as a sum of consecutive naturals, namely, 12985563620 + 12985563621.

It is an arithmetic number, because the mean of its divisors is an integer number (12985563621).

Almost surely, 2^25971127241 is an apocalyptic number.

It is an amenable number.

25971127241 is a deficient number, since it is larger than the sum of its proper divisors (1).

25971127241 is an equidigital number, since it uses as much as digits as its factorization.

25971127241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70560, while the sum is 41.

The spelling of 25971127241 in words is "twenty-five billion, nine hundred seventy-one million, one hundred twenty-seven thousand, two hundred forty-one".