66129601 has 2 divisors, whose sum is σ = 66129602. Its totient is φ = 66129600.

The previous prime is 66129593. The next prime is 66129607. The reversal of 66129601 is 10692166.

66129601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60078001 + 6051600 = 7751^2 + 2460^2 .

It is a cyclic number.

It is not a de Polignac number, because 66129601 - 2³ = 66129593 is a prime.

It is not a weakly prime, because it can be changed into another prime (66129607) 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, 33064800 + 33064801.

It is an arithmetic number, because the mean of its divisors is an integer number (33064801).

Almost surely, 2^66129601 is an apocalyptic number.

It is an amenable number.

66129601 is a deficient number, since it is larger than the sum of its proper divisors (1).

66129601 is an equidigital number, since it uses as much as digits as its factorization.

66129601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 66129601 is about 8132.0108829243. The cubic root of 66129601 is about 404.3883486791.

The spelling of 66129601 in words is "sixty-six million, one hundred twenty-nine thousand, six hundred one".