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65137133 is a prime number
BaseRepresentation
bin1111100001111…
…0100111101101
311112120022100102
43320132213231
5113133342013
610244040445
71420441115
oct370364755
9145508312
1065137133
113384a546
1219993125
13106582a9
148918045
155ab9d58
hex3e1e9ed

65137133 has 2 divisors, whose sum is σ = 65137134. Its totient is φ = 65137132.

The previous prime is 65137129. The next prime is 65137153. The reversal of 65137133 is 33173156.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56505289 + 8631844 = 7517^2 + 2938^2 .

It is a cyclic number.

It is not a de Polignac number, because 65137133 - 22 = 65137129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 65137096 and 65137105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65137153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32568566 + 32568567.

It is an arithmetic number, because the mean of its divisors is an integer number (32568567).

Almost surely, 265137133 is an apocalyptic number.

It is an amenable number.

65137133 is a deficient number, since it is larger than the sum of its proper divisors (1).

65137133 is an equidigital number, since it uses as much as digits as its factorization.

65137133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5670, while the sum is 29.

The square root of 65137133 is about 8070.7578950183. The cubic root of 65137133 is about 402.3551332371.

The spelling of 65137133 in words is "sixty-five million, one hundred thirty-seven thousand, one hundred thirty-three".