825645727319321 has 2 divisors, whose sum is σ = 825645727319322. Its totient is φ = 825645727319320.

The previous prime is 825645727319263. The next prime is 825645727319401. The reversal of 825645727319321 is 123913727546528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 729369676854025 + 96276050465296 = 27006845^2 + 9812036^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-825645727319321 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (825645727319821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412822863659660 + 412822863659661.

It is an arithmetic number, because the mean of its divisors is an integer number (412822863659661).

Almost surely, 2^{825645727319321} is an apocalyptic number.

It is an amenable number.

825645727319321 is a deficient number, since it is larger than the sum of its proper divisors (1).

825645727319321 is an equidigital number, since it uses as much as digits as its factorization.

825645727319321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 152409600, while the sum is 65.

The spelling of 825645727319321 in words is "eight hundred twenty-five trillion, six hundred forty-five billion, seven hundred twenty-seven million, three hundred nineteen thousand, three hundred twenty-one".