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1025200217 is a prime number
BaseRepresentation
bin111101000110110…
…101000001011001
32122110002120022102
4331012311001121
54044422401332
6245421333145
734256025626
oct7506650131
92573076272
101025200217
11486776108
122474071b5
13134521562
149a22b34d
156000d062
hex3d1b5059

1025200217 has 2 divisors, whose sum is σ = 1025200218. Its totient is φ = 1025200216.

The previous prime is 1025200177. The next prime is 1025200219. The reversal of 1025200217 is 7120025201.

1025200217 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., 925619776 + 99580441 = 30424^2 + 9979^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1025200217 is a prime.

Together with 1025200219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1025200219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 512600108 + 512600109.

It is an arithmetic number, because the mean of its divisors is an integer number (512600109).

Almost surely, 21025200217 is an apocalyptic number.

It is an amenable number.

1025200217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1025200217 is an equidigital number, since it uses as much as digits as its factorization.

1025200217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 1025200217 is about 32018.7478986921. The cubic root of 1025200217 is about 1008.3304826882.

Adding to 1025200217 its reverse (7120025201), we get a palindrome (8145225418).

The spelling of 1025200217 in words is "one billion, twenty-five million, two hundred thousand, two hundred seventeen".