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57901681 is a prime number
BaseRepresentation
bin1101110011100…
…0001001110001
311000221201011201
43130320021301
5104310323211
65425011201
71302104365
oct334701161
9130851151
1057901681
112a758432
1217483b01
13bcc3b66
1479932a5
15513b0c1
hex3738271

57901681 has 2 divisors, whose sum is σ = 57901682. Its totient is φ = 57901680.

The previous prime is 57901663. The next prime is 57901691. The reversal of 57901681 is 18610975.

57901681 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., 32490000 + 25411681 = 5700^2 + 5041^2 .

It is a cyclic number.

It is not a de Polignac number, because 57901681 - 213 = 57893489 is a prime.

It is a super-2 number, since 2×579016812 = 6705209325251522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57901681.

It is not a weakly prime, because it can be changed into another prime (57901691) 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, 28950840 + 28950841.

It is an arithmetic number, because the mean of its divisors is an integer number (28950841).

Almost surely, 257901681 is an apocalyptic number.

It is an amenable number.

57901681 is a deficient number, since it is larger than the sum of its proper divisors (1).

57901681 is an equidigital number, since it uses as much as digits as its factorization.

57901681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 57901681 is about 7609.3154094176. The cubic root of 57901681 is about 386.8688158036.

The spelling of 57901681 in words is "fifty-seven million, nine hundred one thousand, six hundred eighty-one".