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57350257 is a prime number
BaseRepresentation
bin1101101011000…
…1100001110001
310222220200202121
43122301201301
5104140202012
65405114241
71264316626
oct332614161
9128820677
1057350257
112a411108
1217258981
13bb5cb83
14788c34d
15507ca07
hex36b1871

57350257 has 2 divisors, whose sum is σ = 57350258. Its totient is φ = 57350256.

The previous prime is 57350243. The next prime is 57350311. The reversal of 57350257 is 75205375.

57350257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57214096 + 136161 = 7564^2 + 369^2 .

It is a cyclic number.

It is not a de Polignac number, because 57350257 - 211 = 57348209 is a prime.

It is not a weakly prime, because it can be changed into another prime (57359257) 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, 28675128 + 28675129.

It is an arithmetic number, because the mean of its divisors is an integer number (28675129).

Almost surely, 257350257 is an apocalyptic number.

It is an amenable number.

57350257 is a deficient number, since it is larger than the sum of its proper divisors (1).

57350257 is an equidigital number, since it uses as much as digits as its factorization.

57350257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36750, while the sum is 34.

The square root of 57350257 is about 7572.9952462682. The cubic root of 57350257 is about 385.6367872975.

The spelling of 57350257 in words is "fifty-seven million, three hundred fifty thousand, two hundred fifty-seven".