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52805257541 is a prime number
BaseRepresentation
bin110001001011011100…
…000100100101000101
312001022002102000112022
4301023130010211011
51331121121220131
640131451532525
73546364166111
oct611334044505
9161262360468
1052805257541
1120438211613
12a29845a145
134c96cbb02a
1427ad122741
151590cbc37b
hexc4b704945

52805257541 has 2 divisors, whose sum is σ = 52805257542. Its totient is φ = 52805257540.

The previous prime is 52805257537. The next prime is 52805257543. The reversal of 52805257541 is 14575250825.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36454264900 + 16350992641 = 190930^2 + 127871^2 .

It is a cyclic number.

It is not a de Polignac number, because 52805257541 - 22 = 52805257537 is a prime.

Together with 52805257543, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 52805257492 and 52805257501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52805257543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26402628770 + 26402628771.

It is an arithmetic number, because the mean of its divisors is an integer number (26402628771).

Almost surely, 252805257541 is an apocalyptic number.

It is an amenable number.

52805257541 is a deficient number, since it is larger than the sum of its proper divisors (1).

52805257541 is an equidigital number, since it uses as much as digits as its factorization.

52805257541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560000, while the sum is 44.

The spelling of 52805257541 in words is "fifty-two billion, eight hundred five million, two hundred fifty-seven thousand, five hundred forty-one".