73566757582049 has 2 divisors, whose sum is σ = 73566757582050. Its totient is φ = 73566757582048.

The previous prime is 73566757582037. The next prime is 73566757582067. The reversal of 73566757582049 is 94028575766537.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73485064509649 + 81693072400 = 8572343^2 + 285820^2 .

It is a cyclic number.

It is not a de Polignac number, because 73566757582049 - 2²⁴ = 73566740804833 is a prime.

It is a super-2 number, since 2×73566757582049² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (73566757582009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36783378791024 + 36783378791025.

It is an arithmetic number, because the mean of its divisors is an integer number (36783378791025).

Almost surely, 2^{73566757582049} is an apocalyptic number.

It is an amenable number.

73566757582049 is a deficient number, since it is larger than the sum of its proper divisors (1).

73566757582049 is an equidigital number, since it uses as much as digits as its factorization.

73566757582049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2667168000, while the sum is 74.

The spelling of 73566757582049 in words is "seventy-three trillion, five hundred sixty-six billion, seven hundred fifty-seven million, five hundred eighty-two thousand, forty-nine".