73413557657233 has 2 divisors, whose sum is σ = 73413557657234. Its totient is φ = 73413557657232.

The previous prime is 73413557657159. The next prime is 73413557657257. The reversal of 73413557657233 is 33275675531437.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57038488978689 + 16375068678544 = 7552383^2 + 4046612^2 .

It is a cyclic number.

It is not a de Polignac number, because 73413557657233 - 2³⁷ = 73276118703761 is a prime.

It is not a weakly prime, because it can be changed into another prime (73413557657633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36706778828616 + 36706778828617.

It is an arithmetic number, because the mean of its divisors is an integer number (36706778828617).

Almost surely, 2^{73413557657233} is an apocalyptic number.

It is an amenable number.

73413557657233 is a deficient number, since it is larger than the sum of its proper divisors (1).

73413557657233 is an equidigital number, since it uses as much as digits as its factorization.

73413557657233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 166698000, while the sum is 61.

The spelling of 73413557657233 in words is "seventy-three trillion, four hundred thirteen billion, five hundred fifty-seven million, six hundred fifty-seven thousand, two hundred thirty-three".