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258611849 is a prime number
BaseRepresentation
bin11110110101000…
…01101010001001
3200000121211202122
433122201222021
51012201034344
641354541025
76260110256
oct1732415211
9600554678
10258611849
11122a85a01
1272737775
1341769482
14264bc42d
1517a85aee
hexf6a1a89

258611849 has 2 divisors, whose sum is σ = 258611850. Its totient is φ = 258611848.

The previous prime is 258611819. The next prime is 258611851. The reversal of 258611849 is 948116852.

258611849 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., 226201600 + 32410249 = 15040^2 + 5693^2 .

It is a cyclic number.

It is not a de Polignac number, because 258611849 - 212 = 258607753 is a prime.

It is a Sophie Germain prime.

Together with 258611851, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (258611819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129305924 + 129305925.

It is an arithmetic number, because the mean of its divisors is an integer number (129305925).

Almost surely, 2258611849 is an apocalyptic number.

It is an amenable number.

258611849 is a deficient number, since it is larger than the sum of its proper divisors (1).

258611849 is an equidigital number, since it uses as much as digits as its factorization.

258611849 is an evil number, because the sum of its binary digits is even.

The product of its digits is 138240, while the sum is 44.

The square root of 258611849 is about 16081.4131530783. The cubic root of 258611849 is about 637.1125203451.

The spelling of 258611849 in words is "two hundred fifty-eight million, six hundred eleven thousand, eight hundred forty-nine".