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257795922353 is a prime number
BaseRepresentation
bin1111000000010111010…
…1011001100110110001
3220122102020111202010012
43300011311121212301
513210431224003403
6314232501144305
724424265120234
oct3600565314661
9818366452105
10257795922353
119a370094092
1241b673bb095
131b40524a9b8
14c697d5541b
156a8c451ed8
hex3c05d599b1

257795922353 has 2 divisors, whose sum is σ = 257795922354. Its totient is φ = 257795922352.

The previous prime is 257795922299. The next prime is 257795922457. The reversal of 257795922353 is 353229597752.

It is a happy number.

257795922353 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., 168545554849 + 89250367504 = 410543^2 + 298748^2 .

It is a cyclic number.

It is not a de Polignac number, because 257795922353 - 210 = 257795921329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257795922292 and 257795922301.

It is not a weakly prime, because it can be changed into another prime (257795922953) 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, 128897961176 + 128897961177.

It is an arithmetic number, because the mean of its divisors is an integer number (128897961177).

Almost surely, 2257795922353 is an apocalyptic number.

It is an amenable number.

257795922353 is a deficient number, since it is larger than the sum of its proper divisors (1).

257795922353 is an equidigital number, since it uses as much as digits as its factorization.

257795922353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35721000, while the sum is 59.

The spelling of 257795922353 in words is "two hundred fifty-seven billion, seven hundred ninety-five million, nine hundred twenty-two thousand, three hundred fifty-three".