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1305249329 is a prime number
BaseRepresentation
bin100110111001100…
…1000011000110001
310100222001112110202
41031303020120301
510133120434304
6333304004545
744226302426
oct11563103061
93328045422
101305249329
1160a86315a
12305160755
1317a5553a7
14c54c9d4d
15798ca81e
hex4dcc8631

1305249329 has 2 divisors, whose sum is σ = 1305249330. Its totient is φ = 1305249328.

The previous prime is 1305249293. The next prime is 1305249343. The reversal of 1305249329 is 9239425031.

It is a happy number.

Together with previous prime (1305249293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1172377600 + 132871729 = 34240^2 + 11527^2 .

It is an emirp because it is prime and its reverse (9239425031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1305249329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1305249292 and 1305249301.

It is not a weakly prime, because it can be changed into another prime (1305249349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652624664 + 652624665.

It is an arithmetic number, because the mean of its divisors is an integer number (652624665).

Almost surely, 21305249329 is an apocalyptic number.

It is an amenable number.

1305249329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305249329 is an equidigital number, since it uses as much as digits as its factorization.

1305249329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 1305249329 is about 36128.2345126357. The cubic root of 1305249329 is about 1092.8599051959.

The spelling of 1305249329 in words is "one billion, three hundred five million, two hundred forty-nine thousand, three hundred twenty-nine".