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57255137 is a prime number
BaseRepresentation
bin1101101001101…
…0010011100001
310222201212021122
43122122103201
5104124131022
65403102025
71263442412
oct332322341
9128655248
1057255137
112a3566a5
1217211915
13bb287a4
147865809
15505e742
hex369a4e1

57255137 has 2 divisors, whose sum is σ = 57255138. Its totient is φ = 57255136.

The previous prime is 57255097. The next prime is 57255139. The reversal of 57255137 is 73155275.

57255137 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., 44302336 + 12952801 = 6656^2 + 3599^2 .

It is a cyclic number.

It is not a de Polignac number, because 57255137 - 28 = 57254881 is a prime.

Together with 57255139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 57255097 and 57255106.

It is not a weakly prime, because it can be changed into another prime (57255139) 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, 28627568 + 28627569.

It is an arithmetic number, because the mean of its divisors is an integer number (28627569).

Almost surely, 257255137 is an apocalyptic number.

It is an amenable number.

57255137 is a deficient number, since it is larger than the sum of its proper divisors (1).

57255137 is an equidigital number, since it uses as much as digits as its factorization.

57255137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36750, while the sum is 35.

The square root of 57255137 is about 7566.7124301112. The cubic root of 57255137 is about 385.4234661390.

The spelling of 57255137 in words is "fifty-seven million, two hundred fifty-five thousand, one hundred thirty-seven".