66011137 has 2 divisors, whose sum is σ = 66011138. Its totient is φ = 66011136.

The previous prime is 66011131. The next prime is 66011161. The reversal of 66011137 is 73111066.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55487601 + 10523536 = 7449^2 + 3244^2 .

It is a cyclic number.

It is not a de Polignac number, because 66011137 - 2¹⁵ = 65978369 is a prime.

It is not a weakly prime, because it can be changed into another prime (66011131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33005568 + 33005569.

It is an arithmetic number, because the mean of its divisors is an integer number (33005569).

It is a Proth number, since it is equal to 4029 ⋅ 2¹⁴ + 1 and 4029 < 2¹⁴.

Almost surely, 2^66011137 is an apocalyptic number.

It is an amenable number.

66011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

66011137 is an equidigital number, since it uses as much as digits as its factorization.

66011137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 66011137 is about 8124.7238106904. The cubic root of 66011137 is about 404.1467317384.

The spelling of 66011137 in words is "sixty-six million, eleven thousand, one hundred thirty-seven".