8257025526961 has 2 divisors, whose sum is σ = 8257025526962. Its totient is φ = 8257025526960.

The previous prime is 8257025526917. The next prime is 8257025526989. The reversal of 8257025526961 is 1696255207528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8016508846336 + 240516680625 = 2831344^2 + 490425^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8257025526961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8257025526896 and 8257025526905.

It is not a weakly prime, because it can be changed into another prime (8257025526161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4128512763480 + 4128512763481.

It is an arithmetic number, because the mean of its divisors is an integer number (4128512763481).

Almost surely, 2^{8257025526961} is an apocalyptic number.

It is an amenable number.

8257025526961 is a deficient number, since it is larger than the sum of its proper divisors (1).

8257025526961 is an equidigital number, since it uses as much as digits as its factorization.

8257025526961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144000, while the sum is 58.

The spelling of 8257025526961 in words is "eight trillion, two hundred fifty-seven billion, twenty-five million, five hundred twenty-six thousand, nine hundred sixty-one".