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258113201 is a prime number
BaseRepresentation
bin11110110001001…
…11111010110001
3122222200111202012
433120213322301
51012034110301
641340132305
76252632423
oct1730477261
9588614665
10258113201
111227752a5
1272537095
1341623508
14263cc813
15179d7ebb
hexf627eb1

258113201 has 2 divisors, whose sum is σ = 258113202. Its totient is φ = 258113200.

The previous prime is 258113189. The next prime is 258113231. The reversal of 258113201 is 102311852.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132135025 + 125978176 = 11495^2 + 11224^2 .

It is a cyclic number.

It is not a de Polignac number, because 258113201 - 210 = 258112177 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (258113231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129056600 + 129056601.

It is an arithmetic number, because the mean of its divisors is an integer number (129056601).

Almost surely, 2258113201 is an apocalyptic number.

It is an amenable number.

258113201 is a deficient number, since it is larger than the sum of its proper divisors (1).

258113201 is an equidigital number, since it uses as much as digits as its factorization.

258113201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 258113201 is about 16065.9018109784. The cubic root of 258113201 is about 636.7027694715.

The spelling of 258113201 in words is "two hundred fifty-eight million, one hundred thirteen thousand, two hundred one".