6573505727273 has 2 divisors, whose sum is σ = 6573505727274. Its totient is φ = 6573505727272.

The previous prime is 6573505727263. The next prime is 6573505727287. The reversal of 6573505727273 is 3727275053756.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3372115214224 + 3201390513049 = 1836332^2 + 1789243^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6573505727273 is a prime.

It is not a weakly prime, because it can be changed into another prime (6573505727263) 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, 3286752863636 + 3286752863637.

It is an arithmetic number, because the mean of its divisors is an integer number (3286752863637).

Almost surely, 2^{6573505727273} is an apocalyptic number.

It is an amenable number.

6573505727273 is a deficient number, since it is larger than the sum of its proper divisors (1).

6573505727273 is an equidigital number, since it uses as much as digits as its factorization.

6573505727273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64827000, while the sum is 59.

The spelling of 6573505727273 in words is "six trillion, five hundred seventy-three billion, five hundred five million, seven hundred twenty-seven thousand, two hundred seventy-three".