66572573 has 2 divisors, whose sum is σ = 66572574. Its totient is φ = 66572572.

The previous prime is 66572567. The next prime is 66572579. The reversal of 66572573 is 37527566.

It is a balanced prime because it is at equal distance from previous prime (66572567) and next prime (66572579).

It can be written as a sum of positive squares in only one way, i.e., 49942489 + 16630084 = 7067^2 + 4078^2 .

It is a cyclic number.

It is not a de Polignac number, because 66572573 - 2²⁴ = 49795357 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66572573.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66572579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33286286 + 33286287.

It is an arithmetic number, because the mean of its divisors is an integer number (33286287).

Almost surely, 2^66572573 is an apocalyptic number.

It is an amenable number.

66572573 is a deficient number, since it is larger than the sum of its proper divisors (1).

66572573 is an equidigital number, since it uses as much as digits as its factorization.

66572573 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 264600, while the sum is 41.

The square root of 66572573 is about 8159.2017379153. The cubic root of 66572573 is about 405.2892776562.

The spelling of 66572573 in words is "sixty-six million, five hundred seventy-two thousand, five hundred seventy-three".