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540523583 is a prime number
BaseRepresentation
bin100000001101111…
…011110000111111
31101200002102221222
4200031323300333
52101333223313
6125345143555
716252242335
oct4015736077
91350072858
10540523583
11258125406
1213102abbb
1387ca3052
1451b03b55
15326c0208
hex2037bc3f

540523583 has 2 divisors, whose sum is σ = 540523584. Its totient is φ = 540523582.

The previous prime is 540523573. The next prime is 540523591. The reversal of 540523583 is 385325045.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 540523583 - 210 = 540522559 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540523513) 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, 270261791 + 270261792.

It is an arithmetic number, because the mean of its divisors is an integer number (270261792).

Almost surely, 2540523583 is an apocalyptic number.

540523583 is a deficient number, since it is larger than the sum of its proper divisors (1).

540523583 is an equidigital number, since it uses as much as digits as its factorization.

540523583 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 540523583 is about 23249.1630602050. The cubic root of 540523583 is about 814.5883893910.

The spelling of 540523583 in words is "five hundred forty million, five hundred twenty-three thousand, five hundred eighty-three".