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258220524281 is a prime number
BaseRepresentation
bin1111000001111100100…
…1001000001011111001
3220200111211110202110112
43300133021020023321
513212313423234111
6314342545554105
724440642145566
oct3603711101371
9820454422415
10258220524281
119a568832875
1242065645935
131b4721c4245
14c6d84c186d
156ab4874e8b
hex3c1f2482f9

258220524281 has 2 divisors, whose sum is σ = 258220524282. Its totient is φ = 258220524280.

The previous prime is 258220524277. The next prime is 258220524379. The reversal of 258220524281 is 182425022852.

258220524281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141119684281 + 117100840000 = 375659^2 + 342200^2 .

It is a cyclic number.

It is not a de Polignac number, because 258220524281 - 22 = 258220524277 is a prime.

It is a super-2 number, since 2×2582205242812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (258220524181) 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, 129110262140 + 129110262141.

It is an arithmetic number, because the mean of its divisors is an integer number (129110262141).

Almost surely, 2258220524281 is an apocalyptic number.

It is an amenable number.

258220524281 is a deficient number, since it is larger than the sum of its proper divisors (1).

258220524281 is an equidigital number, since it uses as much as digits as its factorization.

258220524281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204800, while the sum is 41.

The spelling of 258220524281 in words is "two hundred fifty-eight billion, two hundred twenty million, five hundred twenty-four thousand, two hundred eighty-one".