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540635021 is a prime number
BaseRepresentation
bin100000001110010…
…110111110001101
31101200022002211022
4200032112332031
52101400310041
6125351403525
716253215253
oct4016267615
91350262738
10540635021
112581a1103
121310835a5
13880119a4
1451b325d3
15326e324b
hex20396f8d

540635021 has 2 divisors, whose sum is σ = 540635022. Its totient is φ = 540635020.

The previous prime is 540634981. The next prime is 540635047. The reversal of 540635021 is 120536045.

540635021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (540635047) can be obtained adding 540635021 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 461175625 + 79459396 = 21475^2 + 8914^2 .

It is a cyclic number.

It is not a de Polignac number, because 540635021 - 26 = 540634957 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540635521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270317510 + 270317511.

It is an arithmetic number, because the mean of its divisors is an integer number (270317511).

Almost surely, 2540635021 is an apocalyptic number.

It is an amenable number.

540635021 is a deficient number, since it is larger than the sum of its proper divisors (1).

540635021 is an equidigital number, since it uses as much as digits as its factorization.

540635021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 540635021 is about 23251.5595390933. The cubic root of 540635021 is about 814.6443658961.

The spelling of 540635021 in words is "five hundred forty million, six hundred thirty-five thousand, twenty-one".