825965808113 has 2 divisors, whose sum is σ = 825965808114. Its totient is φ = 825965808112.

The previous prime is 825965808091. The next prime is 825965808121. The reversal of 825965808113 is 311808569528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 749138718784 + 76827089329 = 865528^2 + 277177^2 .

It is a cyclic number.

It is not a de Polignac number, because 825965808113 - 2⁸ = 825965807857 is a prime.

It is a super-2 number, since 2×825965808113² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (825965808133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412982904056 + 412982904057.

It is an arithmetic number, because the mean of its divisors is an integer number (412982904057).

Almost surely, 2^825965808113 is an apocalyptic number.

It is an amenable number.

825965808113 is a deficient number, since it is larger than the sum of its proper divisors (1).

825965808113 is an equidigital number, since it uses as much as digits as its factorization.

825965808113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4147200, while the sum is 56.

The spelling of 825965808113 in words is "eight hundred twenty-five billion, nine hundred sixty-five million, eight hundred eight thousand, one hundred thirteen".