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678590257 is a prime number
BaseRepresentation
bin101000011100100…
…111011100110001
31202021212221211111
4220130213130301
52342204342012
6151200313321
722546631152
oct5034473461
91667787744
10678590257
113190569a4
1216b312841
13aa7843c7
14661a3929
153e893ba7
hex28727731

678590257 has 2 divisors, whose sum is σ = 678590258. Its totient is φ = 678590256.

The previous prime is 678590203. The next prime is 678590287. The reversal of 678590257 is 752095876.

678590257 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., 674752576 + 3837681 = 25976^2 + 1959^2 .

It is a cyclic number.

It is not a de Polignac number, because 678590257 - 215 = 678557489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 678590257.

It is not a weakly prime, because it can be changed into another prime (678590287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 339295128 + 339295129.

It is an arithmetic number, because the mean of its divisors is an integer number (339295129).

Almost surely, 2678590257 is an apocalyptic number.

It is an amenable number.

678590257 is a deficient number, since it is larger than the sum of its proper divisors (1).

678590257 is an equidigital number, since it uses as much as digits as its factorization.

678590257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1058400, while the sum is 49.

The square root of 678590257 is about 26049.7650085370. The cubic root of 678590257 is about 878.7578277454.

The spelling of 678590257 in words is "six hundred seventy-eight million, five hundred ninety thousand, two hundred fifty-seven".