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540091289 is a prime number
BaseRepresentation
bin100000001100010…
…010001110011001
31101122021110222002
4200030102032121
52101230410124
6125332010345
716245462113
oct4014221631
91348243862
10540091289
1125795a641
12130a609b5
1387b8135a
1451a303b3
15326370ae
hex20312399

540091289 has 2 divisors, whose sum is σ = 540091290. Its totient is φ = 540091288.

The previous prime is 540091271. The next prime is 540091291. The reversal of 540091289 is 982190045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 537312400 + 2778889 = 23180^2 + 1667^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-540091289 is a prime.

Together with 540091291, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (540091219) 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, 270045644 + 270045645.

It is an arithmetic number, because the mean of its divisors is an integer number (270045645).

Almost surely, 2540091289 is an apocalyptic number.

It is an amenable number.

540091289 is a deficient number, since it is larger than the sum of its proper divisors (1).

540091289 is an equidigital number, since it uses as much as digits as its factorization.

540091289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 540091289 is about 23239.8642207738. The cubic root of 540091289 is about 814.3711706280.

The spelling of 540091289 in words is "five hundred forty million, ninety-one thousand, two hundred eighty-nine".