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53505167 is a prime number
BaseRepresentation
bin1100110000011…
…0110010001111
310201200100021212
43030012302033
5102144131132
65150445035
71216533512
oct314066217
9121610255
1053505167
1128225251
1215b0377b
13b114981
14716ad79
154a6d5b2
hex3306c8f

53505167 has 2 divisors, whose sum is σ = 53505168. Its totient is φ = 53505166.

The previous prime is 53505139. The next prime is 53505173. The reversal of 53505167 is 76150535.

53505167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-53505167 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53505187) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26752583 + 26752584.

It is an arithmetic number, because the mean of its divisors is an integer number (26752584).

Almost surely, 253505167 is an apocalyptic number.

53505167 is a deficient number, since it is larger than the sum of its proper divisors (1).

53505167 is an equidigital number, since it uses as much as digits as its factorization.

53505167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15750, while the sum is 32.

The square root of 53505167 is about 7314.7226194846. The cubic root of 53505167 is about 376.8182323531.

The spelling of 53505167 in words is "fifty-three million, five hundred five thousand, one hundred sixty-seven".