66137101 has 2 divisors, whose sum is σ = 66137102. Its totient is φ = 66137100.

The previous prime is 66137083. The next prime is 66137143. The reversal of 66137101 is 10173166.

It is a happy number.

66137101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38564100 + 27573001 = 6210^2 + 5251^2 .

It is a cyclic number.

It is not a de Polignac number, because 66137101 - 2⁹ = 66136589 is a prime.

It is a super-2 number, since 2×66137101² = 8748232257368402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66137501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33068550 + 33068551.

It is an arithmetic number, because the mean of its divisors is an integer number (33068551).

Almost surely, 2^66137101 is an apocalyptic number.

It is an amenable number.

66137101 is a deficient number, since it is larger than the sum of its proper divisors (1).

66137101 is an equidigital number, since it uses as much as digits as its factorization.

66137101 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 66137101 is about 8132.4720104037. The cubic root of 66137101 is about 404.4036358219.

The spelling of 66137101 in words is "sixty-six million, one hundred thirty-seven thousand, one hundred one".