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57078137 is a prime number
BaseRepresentation
bin1101100110111…
…1000101111001
310222101212111002
43121233011321
5104103000022
65355214345
71262104364
oct331570571
9128355432
1057078137
112a245716
12171473b5
13ba9605c
14781b0db
155027092
hex366f179

57078137 has 2 divisors, whose sum is σ = 57078138. Its totient is φ = 57078136.

The previous prime is 57078113. The next prime is 57078139. The reversal of 57078137 is 73187075.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37222201 + 19855936 = 6101^2 + 4456^2 .

It is a cyclic number.

It is not a de Polignac number, because 57078137 - 212 = 57074041 is a prime.

Together with 57078139, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57078137.

It is not a weakly prime, because it can be changed into another prime (57078139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28539068 + 28539069.

It is an arithmetic number, because the mean of its divisors is an integer number (28539069).

Almost surely, 257078137 is an apocalyptic number.

It is an amenable number.

57078137 is a deficient number, since it is larger than the sum of its proper divisors (1).

57078137 is an equidigital number, since it uses as much as digits as its factorization.

57078137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41160, while the sum is 38.

The square root of 57078137 is about 7555.0074123061. The cubic root of 57078137 is about 385.0258868297.

The spelling of 57078137 in words is "fifty-seven million, seventy-eight thousand, one hundred thirty-seven".