825539030297257 has 2 divisors, whose sum is σ = 825539030297258. Its totient is φ = 825539030297256.

The previous prime is 825539030297243. The next prime is 825539030297341. The reversal of 825539030297257 is 752792030935528.

825539030297257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 675197566270096 + 150341464027161 = 25984564^2 + 12261381^2 .

It is a cyclic number.

It is not a de Polignac number, because 825539030297257 - 2⁷ = 825539030297129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 825539030297192 and 825539030297201.

It is not a weakly prime, because it can be changed into another prime (825539030697257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412769515148628 + 412769515148629.

It is an arithmetic number, because the mean of its divisors is an integer number (412769515148629).

Almost surely, 2^{825539030297257} is an apocalyptic number.

It is an amenable number.

825539030297257 is a deficient number, since it is larger than the sum of its proper divisors (1).

825539030297257 is an equidigital number, since it uses as much as digits as its factorization.

825539030297257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 285768000, while the sum is 67.

The spelling of 825539030297257 in words is "eight hundred twenty-five trillion, five hundred thirty-nine billion, thirty million, two hundred ninety-seven thousand, two hundred fifty-seven".