25667117716057 has 2 divisors, whose sum is σ = 25667117716058. Its totient is φ = 25667117716056.

The previous prime is 25667117715991. The next prime is 25667117716073. The reversal of 25667117716057 is 75061771176652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24779130002496 + 887987713561 = 4977864^2 + 942331^2 .

It is a cyclic number.

It is not a de Polignac number, because 25667117716057 - 2¹⁵ = 25667117683289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 25667117715986 and 25667117716004.

It is not a weakly prime, because it can be changed into another prime (25667117716157) 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, 12833558858028 + 12833558858029.

It is an arithmetic number, because the mean of its divisors is an integer number (12833558858029).

Almost surely, 2^{25667117716057} is an apocalyptic number.

It is an amenable number.

25667117716057 is a deficient number, since it is larger than the sum of its proper divisors (1).

25667117716057 is an equidigital number, since it uses as much as digits as its factorization.

25667117716057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25930800, while the sum is 61.

The spelling of 25667117716057 in words is "twenty-five trillion, six hundred sixty-seven billion, one hundred seventeen million, seven hundred sixteen thousand, fifty-seven".