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257098133 is a prime number
BaseRepresentation
bin11110101001100…
…00000110010101
3122220202221100002
433110300012111
51011304120013
641302301045
76241204145
oct1724600625
9586687302
10257098133
111221416a6
1272127785
1341359496
1426206925
1517887358
hexf530195

257098133 has 2 divisors, whose sum is σ = 257098134. Its totient is φ = 257098132.

The previous prime is 257098099. The next prime is 257098141. The reversal of 257098133 is 331890752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 242642929 + 14455204 = 15577^2 + 3802^2 .

It is a cyclic number.

It is not a de Polignac number, because 257098133 - 26 = 257098069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257098183) 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, 128549066 + 128549067.

It is an arithmetic number, because the mean of its divisors is an integer number (128549067).

Almost surely, 2257098133 is an apocalyptic number.

It is an amenable number.

257098133 is a deficient number, since it is larger than the sum of its proper divisors (1).

257098133 is an equidigital number, since it uses as much as digits as its factorization.

257098133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 257098133 is about 16034.2799339415. The cubic root of 257098133 is about 635.8670306318.

The spelling of 257098133 in words is "two hundred fifty-seven million, ninety-eight thousand, one hundred thirty-three".