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523648033 is a prime number
BaseRepresentation
bin11111001101100…
…011110000100001
31100111100002001121
4133031203300201
52033023214113
6123543332241
715655635436
oct3715436041
91314302047
10523648033
11249649577
12127451081
1384644b0c
144d78db8d
1530e89e8d
hex1f363c21

523648033 has 2 divisors, whose sum is σ = 523648034. Its totient is φ = 523648032.

The previous prime is 523648031. The next prime is 523648091. The reversal of 523648033 is 330846325.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 480837184 + 42810849 = 21928^2 + 6543^2 .

It is a cyclic number.

It is not a de Polignac number, because 523648033 - 21 = 523648031 is a prime.

Together with 523648031, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 523648033.

It is not a weakly prime, because it can be changed into another prime (523648031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261824016 + 261824017.

It is an arithmetic number, because the mean of its divisors is an integer number (261824017).

Almost surely, 2523648033 is an apocalyptic number.

It is an amenable number.

523648033 is a deficient number, since it is larger than the sum of its proper divisors (1).

523648033 is an equidigital number, since it uses as much as digits as its factorization.

523648033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 523648033 is about 22883.3571182202. The cubic root of 523648033 is about 806.0212508277.

The spelling of 523648033 in words is "five hundred twenty-three million, six hundred forty-eight thousand, thirty-three".