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57608609 is a prime number
BaseRepresentation
bin1101101111000…
…0100110100001
311000101211011012
43123300212201
5104221433414
65414430305
71266444062
oct333604641
9130354135
1057608609
112a578223
1217362395
13bc20646
147918569
1550ce33e
hex36f09a1

57608609 has 2 divisors, whose sum is σ = 57608610. Its totient is φ = 57608608.

The previous prime is 57608599. The next prime is 57608641. The reversal of 57608609 is 90680675.

It is a happy number.

57608609 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., 55726225 + 1882384 = 7465^2 + 1372^2 .

It is a cyclic number.

It is not a de Polignac number, because 57608609 - 224 = 40831393 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (57608659) 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, 28804304 + 28804305.

It is an arithmetic number, because the mean of its divisors is an integer number (28804305).

Almost surely, 257608609 is an apocalyptic number.

It is an amenable number.

57608609 is a deficient number, since it is larger than the sum of its proper divisors (1).

57608609 is an equidigital number, since it uses as much as digits as its factorization.

57608609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 57608609 is about 7590.0335308877. The cubic root of 57608609 is about 386.2149933886.

The spelling of 57608609 in words is "fifty-seven million, six hundred eight thousand, six hundred nine".