825731967191 has 2 divisors, whose sum is σ = 825731967192. Its totient is φ = 825731967190.

The previous prime is 825731967143. The next prime is 825731967227. The reversal of 825731967191 is 191769137528.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 825731967191 - 2³⁸ = 550854060247 is a prime.

It is a super-2 number, since 2×825731967191² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 825731967191.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825731967791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412865983595 + 412865983596.

It is an arithmetic number, because the mean of its divisors is an integer number (412865983596).

Almost surely, 2^825731967191 is an apocalyptic number.

825731967191 is a deficient number, since it is larger than the sum of its proper divisors (1).

825731967191 is an equidigital number, since it uses as much as digits as its factorization.

825731967191 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5715360, while the sum is 59.

The spelling of 825731967191 in words is "eight hundred twenty-five billion, seven hundred thirty-one million, nine hundred sixty-seven thousand, one hundred ninety-one".