181959012461 has 2 divisors, whose sum is σ = 181959012462. Its totient is φ = 181959012460.

The previous prime is 181959012437. The next prime is 181959012479. The reversal of 181959012461 is 164210959181.

181959012461 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., 140381355625 + 41577656836 = 374675^2 + 203906^2 .

It is a cyclic number.

It is not a de Polignac number, because 181959012461 - 2³⁰ = 180885270637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (181959012401) 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, 90979506230 + 90979506231.

It is an arithmetic number, because the mean of its divisors is an integer number (90979506231).

Almost surely, 2^181959012461 is an apocalyptic number.

It is an amenable number.

181959012461 is a deficient number, since it is larger than the sum of its proper divisors (1).

181959012461 is an equidigital number, since it uses as much as digits as its factorization.

181959012461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 47.

The spelling of 181959012461 in words is "one hundred eighty-one billion, nine hundred fifty-nine million, twelve thousand, four hundred sixty-one".