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66813301 is a prime number
BaseRepresentation
bin1111111011011…
…1110101110101
311122201110121201
43332313311311
5114101011201
610344012501
71440621652
oct376676565
9148643551
1066813301
1134794905
121a461131
1310ac41c9
148c32c29
155ceb801
hex3fb7d75

66813301 has 2 divisors, whose sum is σ = 66813302. Its totient is φ = 66813300.

The previous prime is 66813289. The next prime is 66813317. The reversal of 66813301 is 10331866.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61858225 + 4955076 = 7865^2 + 2226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-66813301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66813301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66013301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33406650 + 33406651.

It is an arithmetic number, because the mean of its divisors is an integer number (33406651).

Almost surely, 266813301 is an apocalyptic number.

It is an amenable number.

66813301 is a deficient number, since it is larger than the sum of its proper divisors (1).

66813301 is an equidigital number, since it uses as much as digits as its factorization.

66813301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 66813301 is about 8173.9403594594. The cubic root of 66813301 is about 405.7772018870. Note that the first 3 decimals are identical.

The spelling of 66813301 in words is "sixty-six million, eight hundred thirteen thousand, three hundred one".