181572738810833 has 2 divisors, whose sum is σ = 181572738810834. Its totient is φ = 181572738810832.

The previous prime is 181572738810803. The next prime is 181572738810839. The reversal of 181572738810833 is 338018837275181.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122010956864449 + 59561781946384 = 11045857^2 + 7717628^2 .

It is a cyclic number.

It is not a de Polignac number, because 181572738810833 - 2²⁰ = 181572737762257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 181572738810833.

It is not a weakly prime, because it can be changed into another prime (181572738810839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90786369405416 + 90786369405417.

It is an arithmetic number, because the mean of its divisors is an integer number (90786369405417).

Almost surely, 2^{181572738810833} is an apocalyptic number.

It is an amenable number.

181572738810833 is a deficient number, since it is larger than the sum of its proper divisors (1).

181572738810833 is an equidigital number, since it uses as much as digits as its factorization.

181572738810833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54190080, while the sum is 65.

The spelling of 181572738810833 in words is "one hundred eighty-one trillion, five hundred seventy-two billion, seven hundred thirty-eight million, eight hundred ten thousand, eight hundred thirty-three".