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53135141 is a prime number
BaseRepresentation
bin1100101010110…
…0011100100101
310200222112201012
43022230130211
5102100311031
65134512005
71213432643
oct312543445
9120875635
1053135141
1127aa2244
1215965605
13b015417
1470b2193
1549e8b2b
hex32ac725

53135141 has 2 divisors, whose sum is σ = 53135142. Its totient is φ = 53135140.

The previous prime is 53135123. The next prime is 53135171. The reversal of 53135141 is 14153135.

53135141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47748100 + 5387041 = 6910^2 + 2321^2 .

It is a cyclic number.

It is not a de Polignac number, because 53135141 - 214 = 53118757 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 (53135101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26567570 + 26567571.

It is an arithmetic number, because the mean of its divisors is an integer number (26567571).

Almost surely, 253135141 is an apocalyptic number.

It is an amenable number.

53135141 is a deficient number, since it is larger than the sum of its proper divisors (1).

53135141 is an equidigital number, since it uses as much as digits as its factorization.

53135141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 900, while the sum is 23.

The square root of 53135141 is about 7289.3855022217. The cubic root of 53135141 is about 375.9475674775.

Adding to 53135141 its reverse (14153135), we get a palindrome (67288276).

The spelling of 53135141 in words is "fifty-three million, one hundred thirty-five thousand, one hundred forty-one".