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53005717 is a prime number
BaseRepresentation
bin1100101000110…
…0110110010101
310200201222011201
43022030312111
5102032140332
65132032501
71212353422
oct312146625
9120658151
1053005717
1127a13a86
1215902731
13ac9b53b
14707ad49
1549c05e7
hex328cd95

53005717 has 2 divisors, whose sum is σ = 53005718. Its totient is φ = 53005716.

The previous prime is 53005679. The next prime is 53005739. The reversal of 53005717 is 71750035.

53005717 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 can be written as a sum of positive squares in only one way, i.e., 41486481 + 11519236 = 6441^2 + 3394^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-53005717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53005517) 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, 26502858 + 26502859.

It is an arithmetic number, because the mean of its divisors is an integer number (26502859).

Almost surely, 253005717 is an apocalyptic number.

It is an amenable number.

53005717 is a deficient number, since it is larger than the sum of its proper divisors (1).

53005717 is an equidigital number, since it uses as much as digits as its factorization.

53005717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3675, while the sum is 28.

The square root of 53005717 is about 7280.5025238647. The cubic root of 53005717 is about 375.6420810281.

The spelling of 53005717 in words is "fifty-three million, five thousand, seven hundred seventeen".