825108961 has 2 divisors, whose sum is σ = 825108962. Its totient is φ = 825108960.

The previous prime is 825108883. The next prime is 825109007. The reversal of 825108961 is 169801528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 649281361 + 175827600 = 25481^2 + 13260^2 .

It is a cyclic number.

It is not a de Polignac number, because 825108961 - 2⁷ = 825108833 is a prime.

It is not a weakly prime, because it can be changed into another prime (825108461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412554480 + 412554481.

It is an arithmetic number, because the mean of its divisors is an integer number (412554481).

Almost surely, 2^825108961 is an apocalyptic number.

It is an amenable number.

825108961 is a deficient number, since it is larger than the sum of its proper divisors (1).

825108961 is an equidigital number, since it uses as much as digits as its factorization.

825108961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34560, while the sum is 40.

The square root of 825108961 is about 28724.7099376129. The cubic root of 825108961 is about 937.9300160855.

The spelling of 825108961 in words is "eight hundred twenty-five million, one hundred eight thousand, nine hundred sixty-one".