73055318169313 has 2 divisors, whose sum is σ = 73055318169314. Its totient is φ = 73055318169312.

The previous prime is 73055318169311. The next prime is 73055318169409. The reversal of 73055318169313 is 31396181355037.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38821971409984 + 34233346759329 = 6230728^2 + 5850927^2 .

It is a cyclic number.

It is not a de Polignac number, because 73055318169313 - 2¹ = 73055318169311 is a prime.

Together with 73055318169311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (73055318169311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36527659084656 + 36527659084657.

It is an arithmetic number, because the mean of its divisors is an integer number (36527659084657).

Almost surely, 2^{73055318169313} is an apocalyptic number.

It is an amenable number.

73055318169313 is a deficient number, since it is larger than the sum of its proper divisors (1).

73055318169313 is an equidigital number, since it uses as much as digits as its factorization.

73055318169313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6123600, while the sum is 55.

The spelling of 73055318169313 in words is "seventy-three trillion, fifty-five billion, three hundred eighteen million, one hundred sixty-nine thousand, three hundred thirteen".