25127921898257 has 2 divisors, whose sum is σ = 25127921898258. Its totient is φ = 25127921898256.

The previous prime is 25127921898181. The next prime is 25127921898259. The reversal of 25127921898257 is 75289812972152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20313193224256 + 4814728674001 = 4507016^2 + 2194249^2 .

It is a cyclic number.

It is not a de Polignac number, because 25127921898257 - 2¹² = 25127921894161 is a prime.

Together with 25127921898259, 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 (25127921898259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12563960949128 + 12563960949129.

It is an arithmetic number, because the mean of its divisors is an integer number (12563960949129).

Almost surely, 2^{25127921898257} is an apocalyptic number.

It is an amenable number.

25127921898257 is a deficient number, since it is larger than the sum of its proper divisors (1).

25127921898257 is an equidigital number, since it uses as much as digits as its factorization.

25127921898257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 101606400, while the sum is 68.

The spelling of 25127921898257 in words is "twenty-five trillion, one hundred twenty-seven billion, nine hundred twenty-one million, eight hundred ninety-eight thousand, two hundred fifty-seven".