73055318169409 has 2 divisors, whose sum is σ = 73055318169410. Its totient is φ = 73055318169408.

The previous prime is 73055318169313. The next prime is 73055318169433. The reversal of 73055318169409 is 90496181355037.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65932824729409 + 7122493440000 = 8119903^2 + 2668800^2 .

It is a cyclic number.

It is not a de Polignac number, because 73055318169409 - 2²⁹ = 73054781298497 is a prime.

It is not a weakly prime, because it can be changed into another prime (73055318169479) 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, 36527659084704 + 36527659084705.

It is an arithmetic number, because the mean of its divisors is an integer number (36527659084705).

Almost surely, 2^{73055318169409} is an apocalyptic number.

It is an amenable number.

73055318169409 is a deficient number, since it is larger than the sum of its proper divisors (1).

73055318169409 is an equidigital number, since it uses as much as digits as its factorization.

73055318169409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24494400, while the sum is 61.

The spelling of 73055318169409 in words is "seventy-three trillion, fifty-five billion, three hundred eighteen million, one hundred sixty-nine thousand, four hundred nine".