73600305764113 has 2 divisors, whose sum is σ = 73600305764114. Its totient is φ = 73600305764112.

The previous prime is 73600305764017. The next prime is 73600305764129. The reversal of 73600305764113 is 31146750300637.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57477125588689 + 16123180175424 = 7581367^2 + 4015368^2 .

It is an emirp because it is prime and its reverse (31146750300637) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73600305764113 - 2⁴¹ = 71401282508561 is a prime.

It is not a weakly prime, because it can be changed into another prime (73600305764413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36800152882056 + 36800152882057.

It is an arithmetic number, because the mean of its divisors is an integer number (36800152882057).

Almost surely, 2^{73600305764113} is an apocalyptic number.

It is an amenable number.

73600305764113 is a deficient number, since it is larger than the sum of its proper divisors (1).

73600305764113 is an equidigital number, since it uses as much as digits as its factorization.

73600305764113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 952560, while the sum is 46.

The spelling of 73600305764113 in words is "seventy-three trillion, six hundred billion, three hundred five million, seven hundred sixty-four thousand, one hundred thirteen".