181097938961 has 2 divisors, whose sum is σ = 181097938962. Its totient is φ = 181097938960.

The previous prime is 181097938943. The next prime is 181097939039. The reversal of 181097938961 is 169839790181.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103977871936 + 77120067025 = 322456^2 + 277705^2 .

It is a cyclic number.

It is not a de Polignac number, because 181097938961 - 2³⁰ = 180024197137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 181097938894 and 181097938903.

It is not a weakly prime, because it can be changed into another prime (181097938061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90548969480 + 90548969481.

It is an arithmetic number, because the mean of its divisors is an integer number (90548969481).

Almost surely, 2^181097938961 is an apocalyptic number.

It is an amenable number.

181097938961 is a deficient number, since it is larger than the sum of its proper divisors (1).

181097938961 is an equidigital number, since it uses as much as digits as its factorization.

181097938961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5878656, while the sum is 62.

The spelling of 181097938961 in words is "one hundred eighty-one billion, ninety-seven million, nine hundred thirty-eight thousand, nine hundred sixty-one".