73000013 has 2 divisors, whose sum is σ = 73000014. Its totient is φ = 73000012.

The previous prime is 73000003. The next prime is 73000019. The reversal of 73000013 is 31000037.

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., 57805609 + 15194404 = 7603^2 + 3898^2 .

It is a cyclic number.

It is not a de Polignac number, because 73000013 - 2²⁰ = 71951437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73000019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36500006 + 36500007.

It is an arithmetic number, because the mean of its divisors is an integer number (36500007).

Almost surely, 2^73000013 is an apocalyptic number.

It is an amenable number.

73000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

73000013 is an equidigital number, since it uses as much as digits as its factorization.

73000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 73000013 is about 8544.0045060850. The cubic root of 73000013 is about 417.9339444470.

The spelling of 73000013 in words is "seventy-three million, thirteen", and thus it is an aban number and an uban number.