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1351309 is a prime number
BaseRepresentation
bin101001001111010001101
32112122122111
411021322031
5321220214
644544021
714325451
oct5117215
92478574
101351309
11843293
12552011
133840bb
14272661
151ba5c4
hex149e8d

1351309 has 2 divisors, whose sum is σ = 1351310. Its totient is φ = 1351308.

The previous prime is 1351291. The next prime is 1351327. The reversal of 1351309 is 9031531.

It is a balanced prime because it is at equal distance from previous prime (1351291) and next prime (1351327).

It can be written as a sum of positive squares in only one way, i.e., 1162084 + 189225 = 1078^2 + 435^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1351309 is a prime.

1351309 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1351309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1355309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 675654 + 675655.

It is an arithmetic number, because the mean of its divisors is an integer number (675655).

21351309 is an apocalyptic number.

It is an amenable number.

1351309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1351309 is an equidigital number, since it uses as much as digits as its factorization.

1351309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 405, while the sum is 22.

The square root of 1351309 is about 1162.4581712905. The cubic root of 1351309 is about 110.5566548809.

It can be divided in two parts, 135 and 1309, that multiplied together give a triangular number (176715 = T594).

The spelling of 1351309 in words is "one million, three hundred fifty-one thousand, three hundred nine".