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66753541 is a prime number
BaseRepresentation
bin1111111010100…
…1010000000101
311122121102122101
43332221100011
5114042103131
610342432101
71440252511
oct376512005
9148542571
1066753541
1134753a18
121a432631
1310aa2c4a
148c19141
155cd8c61
hex3fa9405

66753541 has 2 divisors, whose sum is σ = 66753542. Its totient is φ = 66753540.

The previous prime is 66753503. The next prime is 66753551. The reversal of 66753541 is 14535766.

66753541 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., 59213025 + 7540516 = 7695^2 + 2746^2 .

It is a cyclic number.

It is not a de Polignac number, because 66753541 - 27 = 66753413 is a prime.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 66753541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66753551) 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, 33376770 + 33376771.

It is an arithmetic number, because the mean of its divisors is an integer number (33376771).

Almost surely, 266753541 is an apocalyptic number.

It is an amenable number.

66753541 is a deficient number, since it is larger than the sum of its proper divisors (1).

66753541 is an equidigital number, since it uses as much as digits as its factorization.

66753541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 75600, while the sum is 37.

The square root of 66753541 is about 8170.2840219909. The cubic root of 66753541 is about 405.6561856693.

The spelling of 66753541 in words is "sixty-six million, seven hundred fifty-three thousand, five hundred forty-one".