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537120509 is a prime number
BaseRepresentation
bin100000000000111…
…100111011111101
31101102200112211012
4200000330323331
52100000324014
6125144205005
716211310002
oct4000747375
91342615735
10537120509
11256210652
1212ba69765
13873810b3
14514998a9
153224bc3e
hex2003cefd

537120509 has 2 divisors, whose sum is σ = 537120510. Its totient is φ = 537120508.

The previous prime is 537120487. The next prime is 537120511. The reversal of 537120509 is 905021735.

537120509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 458088409 + 79032100 = 21403^2 + 8890^2 .

It is a cyclic number.

It is not a de Polignac number, because 537120509 - 212 = 537116413 is a prime.

Together with 537120511, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (537120569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 268560254 + 268560255.

It is an arithmetic number, because the mean of its divisors is an integer number (268560255).

Almost surely, 2537120509 is an apocalyptic number.

It is an amenable number.

537120509 is a deficient number, since it is larger than the sum of its proper divisors (1).

537120509 is an equidigital number, since it uses as much as digits as its factorization.

537120509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 537120509 is about 23175.8604802497. The cubic root of 537120509 is about 812.8752710327.

The spelling of 537120509 in words is "five hundred thirty-seven million, one hundred twenty thousand, five hundred nine".