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1306753561 is a prime number
BaseRepresentation
bin100110111100011…
…0111101000011001
310101001212221220001
41031320313220121
510134012103221
6333400133001
744245136101
oct11570675031
93331787801
101306753561
116106a0323
12305767161
1317a960c79
14c579c201
1579ac6391
hex4de37a19

1306753561 has 2 divisors, whose sum is σ = 1306753562. Its totient is φ = 1306753560.

The previous prime is 1306753541. The next prime is 1306753607. The reversal of 1306753561 is 1653576031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1034008336 + 272745225 = 32156^2 + 16515^2 .

It is a cyclic number.

It is not a de Polignac number, because 1306753561 - 225 = 1273199129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1306753561.

It is not a weakly prime, because it can be changed into another prime (1306753541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 653376780 + 653376781.

It is an arithmetic number, because the mean of its divisors is an integer number (653376781).

Almost surely, 21306753561 is an apocalyptic number.

It is an amenable number.

1306753561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1306753561 is an equidigital number, since it uses as much as digits as its factorization.

1306753561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 1306753561 is about 36149.0464742848. The cubic root of 1306753561 is about 1093.2795654350.

The spelling of 1306753561 in words is "one billion, three hundred six million, seven hundred fifty-three thousand, five hundred sixty-one".