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819335381 is a prime number
BaseRepresentation
bin110000110101100…
…001000011010101
32010002201112211212
4300311201003111
53134222213011
6213145111205
726206143614
oct6065410325
92102645755
10819335381
11390547887
121aa488505
13100992947
147ab5d87b
154bde608b
hex30d610d5

819335381 has 2 divisors, whose sum is σ = 819335382. Its totient is φ = 819335380.

The previous prime is 819335357. The next prime is 819335399. The reversal of 819335381 is 183533918.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 683822500 + 135512881 = 26150^2 + 11641^2 .

It is a cyclic number.

It is not a de Polignac number, because 819335381 - 26 = 819335317 is a prime.

It is a super-2 number, since 2×8193353812 = 1342620933116830322, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (819335351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 409667690 + 409667691.

It is an arithmetic number, because the mean of its divisors is an integer number (409667691).

Almost surely, 2819335381 is an apocalyptic number.

It is an amenable number.

819335381 is a deficient number, since it is larger than the sum of its proper divisors (1).

819335381 is an equidigital number, since it uses as much as digits as its factorization.

819335381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 77760, while the sum is 41.

The square root of 819335381 is about 28624.0350230361. The cubic root of 819335381 is about 935.7372171970.

The spelling of 819335381 in words is "eight hundred nineteen million, three hundred thirty-five thousand, three hundred eighty-one".