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258955678057 is a prime number
BaseRepresentation
bin1111000100101011110…
…1100001000101101001
3220202102001210102212011
43301022331201011221
513220320123144212
6314543530515521
724465106642216
oct3611275410551
9822361712764
10258955678057
119a90580277a
124222b895ba1
131b55b5c138b
14c767daab0d
156b0918d4a7
hex3c4af61169

258955678057 has 2 divisors, whose sum is σ = 258955678058. Its totient is φ = 258955678056.

The previous prime is 258955678043. The next prime is 258955678063. The reversal of 258955678057 is 750876559852.

258955678057 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., 231403329936 + 27552348121 = 481044^2 + 165989^2 .

It is a cyclic number.

It is not a de Polignac number, because 258955678057 - 227 = 258821460329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258955677983 and 258955678001.

It is not a weakly prime, because it can be changed into another prime (258955678357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129477839028 + 129477839029.

It is an arithmetic number, because the mean of its divisors is an integer number (129477839029).

Almost surely, 2258955678057 is an apocalyptic number.

It is an amenable number.

258955678057 is a deficient number, since it is larger than the sum of its proper divisors (1).

258955678057 is an equidigital number, since it uses as much as digits as its factorization.

258955678057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680000, while the sum is 67.

The spelling of 258955678057 in words is "two hundred fifty-eight billion, nine hundred fifty-five million, six hundred seventy-eight thousand, fifty-seven".