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57152129 is a prime number
BaseRepresentation
bin1101101000000…
…1001010000001
310222112121222112
43122001022001
5104112332004
65400545105
71262533166
oct332011201
9128477875
1057152129
112a296271
1217182195
13bac0938
14783a06d
15503de6e
hex3681281

57152129 has 2 divisors, whose sum is σ = 57152130. Its totient is φ = 57152128.

The previous prime is 57152119. The next prime is 57152131. The reversal of 57152129 is 92125175.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54169600 + 2982529 = 7360^2 + 1727^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57152129 is a prime.

It is a Sophie Germain prime.

Together with 57152131, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57152095 and 57152104.

It is not a weakly prime, because it can be changed into another prime (57152119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28576064 + 28576065.

It is an arithmetic number, because the mean of its divisors is an integer number (28576065).

Almost surely, 257152129 is an apocalyptic number.

It is an amenable number.

57152129 is a deficient number, since it is larger than the sum of its proper divisors (1).

57152129 is an equidigital number, since it uses as much as digits as its factorization.

57152129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6300, while the sum is 32.

The square root of 57152129 is about 7559.9027110142. The cubic root of 57152129 is about 385.1921882980.

The spelling of 57152129 in words is "fifty-seven million, one hundred fifty-two thousand, one hundred twenty-nine".