66031189497257 has 2 divisors, whose sum is σ = 66031189497258. Its totient is φ = 66031189497256.

The previous prime is 66031189497239. The next prime is 66031189497269. The reversal of 66031189497257 is 75279498113066.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37810828200601 + 28220361296656 = 6149051^2 + 5312284^2 .

It is a cyclic number.

It is not a de Polignac number, because 66031189497257 - 2¹² = 66031189493161 is a prime.

It is not a weakly prime, because it can be changed into another prime (66031189497157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33015594748628 + 33015594748629.

It is an arithmetic number, because the mean of its divisors is an integer number (33015594748629).

It is a 2-persistent number, because it is pandigital, and so is 2⋅66031189497257 = 132062378994514, but 3⋅66031189497257 = 198093568491771 is not.

Almost surely, 2^{66031189497257} is an apocalyptic number.

It is an amenable number.

66031189497257 is a deficient number, since it is larger than the sum of its proper divisors (1).

66031189497257 is an equidigital number, since it uses as much as digits as its factorization.

66031189497257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 137168640, while the sum is 68.

The spelling of 66031189497257 in words is "sixty-six trillion, thirty-one billion, one hundred eighty-nine million, four hundred ninety-seven thousand, two hundred fifty-seven".