181025432681 has 2 divisors, whose sum is σ = 181025432682. Its totient is φ = 181025432680.

The previous prime is 181025432677. The next prime is 181025432683. The reversal of 181025432681 is 186234520181.

181025432681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100800535081 + 80224897600 = 317491^2 + 283240^2 .

It is a cyclic number.

It is not a de Polignac number, because 181025432681 - 2² = 181025432677 is a prime.

It is a super-2 number, since 2×181025432681² (a number of 23 digits) contains 22 as substring.

Together with 181025432683, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (181025432683) 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, 90512716340 + 90512716341.

It is an arithmetic number, because the mean of its divisors is an integer number (90512716341).

Almost surely, 2^181025432681 is an apocalyptic number.

It is an amenable number.

181025432681 is a deficient number, since it is larger than the sum of its proper divisors (1).

181025432681 is an equidigital number, since it uses as much as digits as its factorization.

181025432681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 181025432681 in words is "one hundred eighty-one billion, twenty-five million, four hundred thirty-two thousand, six hundred eighty-one".