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257203430571149 is a prime number
BaseRepresentation
bin111010011110110011010111…
…000111010011110010001101
31020201200102000022021001111122
4322132303113013103302031
5232203010111211234044
62311005342543330325
7105114222531445256
oct7236632707236215
91221612008231448
10257203430571149
1174a533a9306847
1224a1b8b85b09a5
13b0692442973aa
1447729d8dcdb2d
151eb06b8b17dee
hexe9ecd71d3c8d

257203430571149 has 2 divisors, whose sum is σ = 257203430571150. Its totient is φ = 257203430571148.

The previous prime is 257203430571097. The next prime is 257203430571173. The reversal of 257203430571149 is 941175034302752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202657716924100 + 54545713647049 = 14235790^2 + 7385507^2 .

It is a cyclic number.

It is not a de Polignac number, because 257203430571149 - 220 = 257203429522573 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 257203430571149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257203430571349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128601715285574 + 128601715285575.

It is an arithmetic number, because the mean of its divisors is an integer number (128601715285575).

Almost surely, 2257203430571149 is an apocalyptic number.

It is an amenable number.

257203430571149 is a deficient number, since it is larger than the sum of its proper divisors (1).

257203430571149 is an equidigital number, since it uses as much as digits as its factorization.

257203430571149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6350400, while the sum is 53.

The spelling of 257203430571149 in words is "two hundred fifty-seven trillion, two hundred three billion, four hundred thirty million, five hundred seventy-one thousand, one hundred forty-nine".