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66052033 is a prime number
BaseRepresentation
bin1111101111110…
…1111111000001
311121021210100121
43323331333001
5113402131113
610315420241
71431301345
oct373757701
9147253317
1066052033
1134314963
121a154681
13108b8858
148ab5625
155beae8d
hex3efdfc1

66052033 has 2 divisors, whose sum is σ = 66052034. Its totient is φ = 66052032.

The previous prime is 66052031. The next prime is 66052057. The reversal of 66052033 is 33025066.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50865424 + 15186609 = 7132^2 + 3897^2 .

It is a cyclic number.

It is not a de Polignac number, because 66052033 - 21 = 66052031 is a prime.

Together with 66052031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 66051989 and 66052007.

It is not a weakly prime, because it can be changed into another prime (66052031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33026016 + 33026017.

It is an arithmetic number, because the mean of its divisors is an integer number (33026017).

Almost surely, 266052033 is an apocalyptic number.

It is an amenable number.

66052033 is a deficient number, since it is larger than the sum of its proper divisors (1).

66052033 is an equidigital number, since it uses as much as digits as its factorization.

66052033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 66052033 is about 8127.2401834817. The cubic root of 66052033 is about 404.2301750959.

Adding to 66052033 its reverse (33025066), we get a palindrome (99077099).

The spelling of 66052033 in words is "sixty-six million, fifty-two thousand, thirty-three".