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50053 is a prime number
BaseRepresentation
bin1100001110000101
32112122211
430032011
53100203
61023421
7265633
oct141605
975584
1050053
1134673
1224b71
1319a23
1414353
15ec6d
hexc385

50053 has 2 divisors, whose sum is σ = 50054. Its totient is φ = 50052.

The previous prime is 50051. The next prime is 50069. The reversal of 50053 is 35005.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49729 + 324 = 223^2 + 18^2 .

It is a cyclic number.

It is not a de Polignac number, because 50053 - 21 = 50051 is a prime.

Together with 50051, it forms a pair of twin primes.

50053 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (50051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25026 + 25027.

It is an arithmetic number, because the mean of its divisors is an integer number (25027).

250053 is an apocalyptic number.

It is an amenable number.

50053 is a deficient number, since it is larger than the sum of its proper divisors (1).

50053 is an equidigital number, since it uses as much as digits as its factorization.

50053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75, while the sum is 13.

The square root of 50053 is about 223.7252779638. The cubic root of 50053 is about 36.8533273011.

Adding to 50053 its reverse (35005), we get a palindrome (85058).

The spelling of 50053 in words is "fifty thousand, fifty-three".