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258005441 is a prime number
BaseRepresentation
bin11110110000011…
…01100111000001
3122222111000221002
433120031213001
51012022133231
641333541345
76252003311
oct1730154701
9588430832
10258005441
11122701341
12724a4855
13415b6455
14263a1441
15179b60cb
hexf60d9c1

258005441 has 2 divisors, whose sum is σ = 258005442. Its totient is φ = 258005440.

The previous prime is 258005411. The next prime is 258005443. The reversal of 258005441 is 144500852.

258005441 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., 182385025 + 75620416 = 13505^2 + 8696^2 .

It is a cyclic number.

It is not a de Polignac number, because 258005441 - 222 = 253811137 is a prime.

It is a Sophie Germain prime.

Together with 258005443, 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 (258005443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129002720 + 129002721.

It is an arithmetic number, because the mean of its divisors is an integer number (129002721).

Almost surely, 2258005441 is an apocalyptic number.

It is an amenable number.

258005441 is a deficient number, since it is larger than the sum of its proper divisors (1).

258005441 is an equidigital number, since it uses as much as digits as its factorization.

258005441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 258005441 is about 16062.5477742480. The cubic root of 258005441 is about 636.6141511953.

The spelling of 258005441 in words is "two hundred fifty-eight million, five thousand, four hundred forty-one".