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537838289 is a prime number
BaseRepresentation
bin100000000011101…
…100001011010001
31101111001000102122
4200003230023101
52100141311124
6125211424025
716220356442
oct4003541321
91344030378
10537838289
1125666095a
12130155015
1387572a11
14516052c9
153233e75e
hex200ec2d1

537838289 has 2 divisors, whose sum is σ = 537838290. Its totient is φ = 537838288.

The previous prime is 537838267. The next prime is 537838291. The reversal of 537838289 is 982838735.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 499299025 + 38539264 = 22345^2 + 6208^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-537838289 is a prime.

It is a super-2 number, since 2×5378382892 = 578540050228895042, which contains 22 as substring.

Together with 537838291, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 537838289.

It is not a weakly prime, because it can be changed into another prime (537838219) 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, 268919144 + 268919145.

It is an arithmetic number, because the mean of its divisors is an integer number (268919145).

Almost surely, 2537838289 is an apocalyptic number.

It is an amenable number.

537838289 is a deficient number, since it is larger than the sum of its proper divisors (1).

537838289 is an equidigital number, since it uses as much as digits as its factorization.

537838289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2903040, while the sum is 53.

The square root of 537838289 is about 23191.3408193662. The cubic root of 537838289 is about 813.2372046464.

The spelling of 537838289 in words is "five hundred thirty-seven million, eight hundred thirty-eight thousand, two hundred eighty-nine".