181685337101 has 2 divisors, whose sum is σ = 181685337102. Its totient is φ = 181685337100.

The previous prime is 181685337091. The next prime is 181685337233. The reversal of 181685337101 is 101733586181.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129290584900 + 52394752201 = 359570^2 + 228899^2 .

It is a cyclic number.

It is not a de Polignac number, because 181685337101 - 2¹⁴ = 181685320717 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (181685337601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90842668550 + 90842668551.

It is an arithmetic number, because the mean of its divisors is an integer number (90842668551).

Almost surely, 2^181685337101 is an apocalyptic number.

It is an amenable number.

181685337101 is a deficient number, since it is larger than the sum of its proper divisors (1).

181685337101 is an equidigital number, since it uses as much as digits as its factorization.

181685337101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 44.

The spelling of 181685337101 in words is "one hundred eighty-one billion, six hundred eighty-five million, three hundred thirty-seven thousand, one hundred one".