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819209609 is a prime number
BaseRepresentation
bin110000110101000…
…010010110001001
32010002111011022122
4300311002112021
53134204201414
6213142301025
726205111131
oct6065022611
92102434278
10819209609
11390471339
121aa427775
1310094a61a
147ab29ac1
154bdbdb8e
hex30d42589

819209609 has 2 divisors, whose sum is σ = 819209610. Its totient is φ = 819209608.

The previous prime is 819209597. The next prime is 819209621. The reversal of 819209609 is 906902918.

It is a balanced prime because it is at equal distance from previous prime (819209597) and next prime (819209621).

It can be written as a sum of positive squares in only one way, i.e., 816816400 + 2393209 = 28580^2 + 1547^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-819209609 is a prime.

It is a super-2 number, since 2×8192096092 = 1342208766955865762, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 819209609.

It is not a weakly prime, because it can be changed into another prime (819209669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 409604804 + 409604805.

It is an arithmetic number, because the mean of its divisors is an integer number (409604805).

Almost surely, 2819209609 is an apocalyptic number.

It is an amenable number.

819209609 is a deficient number, since it is larger than the sum of its proper divisors (1).

819209609 is an equidigital number, since it uses as much as digits as its factorization.

819209609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69984, while the sum is 44.

The square root of 819209609 is about 28621.8379738269. The cubic root of 819209609 is about 935.6893346626.

The spelling of 819209609 in words is "eight hundred nineteen million, two hundred nine thousand, six hundred nine".