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540822832357 is a prime number
BaseRepresentation
bin1111101111010111000…
…11011000010011100101
31220200221212120110112111
413313223203120103211
532330101121113412
61052241154121021
754034044140323
oct7675343302345
91820855513474
10540822832357
111993a8431685
1288994580171
133bccb818892
141c266bc0d13
15e1049a22a7
hex7deb8d84e5

540822832357 has 2 divisors, whose sum is σ = 540822832358. Its totient is φ = 540822832356.

The previous prime is 540822832351. The next prime is 540822832367. The reversal of 540822832357 is 753238228045.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 507989754756 + 32833077601 = 712734^2 + 181199^2 .

It is a cyclic number.

It is not a de Polignac number, because 540822832357 - 231 = 538675348709 is a prime.

It is a super-3 number, since 3×5408228323573 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 540822832357.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540822832351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270411416178 + 270411416179.

It is an arithmetic number, because the mean of its divisors is an integer number (270411416179).

Almost surely, 2540822832357 is an apocalyptic number.

It is an amenable number.

540822832357 is a deficient number, since it is larger than the sum of its proper divisors (1).

540822832357 is an equidigital number, since it uses as much as digits as its factorization.

540822832357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3225600, while the sum is 49.

The spelling of 540822832357 in words is "five hundred forty billion, eight hundred twenty-two million, eight hundred thirty-two thousand, three hundred fifty-seven".