25617105160057 has 2 divisors, whose sum is σ = 25617105160058. Its totient is φ = 25617105160056.

The previous prime is 25617105160051. The next prime is 25617105160063. The reversal of 25617105160057 is 75006150171652.

It is a balanced prime because it is at equal distance from previous prime (25617105160051) and next prime (25617105160063).

It can be written as a sum of positive squares in only one way, i.e., 18954041933376 + 6663063226681 = 4353624^2 + 2581291^2 .

It is a cyclic number.

It is not a de Polignac number, because 25617105160057 - 2³¹ = 25614957676409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 25617105159989 and 25617105160016.

It is not a weakly prime, because it can be changed into another prime (25617105160051) 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, 12808552580028 + 12808552580029.

It is an arithmetic number, because the mean of its divisors is an integer number (12808552580029).

Almost surely, 2^{25617105160057} is an apocalyptic number.

It is an amenable number.

25617105160057 is a deficient number, since it is larger than the sum of its proper divisors (1).

25617105160057 is an equidigital number, since it uses as much as digits as its factorization.

25617105160057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441000, while the sum is 46.

The spelling of 25617105160057 in words is "twenty-five trillion, six hundred seventeen billion, one hundred five million, one hundred sixty thousand, fifty-seven".