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257896666481 is a prime number
BaseRepresentation
bin1111000000101111010…
…1101101010101110001
3220122200021002002002012
43300023311231111301
513211133021311411
6314250500332305
724426630332006
oct3601365552561
9818607062065
10257896666481
119a411a436a3
1241b950a4095
131b4200920cc
14c6a749b8ad
156a9620218b
hex3c0bd6d571

257896666481 has 2 divisors, whose sum is σ = 257896666482. Its totient is φ = 257896666480.

The previous prime is 257896666373. The next prime is 257896666487. The reversal of 257896666481 is 184666698752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221614036081 + 36282630400 = 470759^2 + 190480^2 .

It is a cyclic number.

It is not a de Polignac number, because 257896666481 - 214 = 257896650097 is a prime.

It is a super-2 number, since 2×2578966664812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257896666487) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128948333240 + 128948333241.

It is an arithmetic number, because the mean of its divisors is an integer number (128948333241).

Almost surely, 2257896666481 is an apocalyptic number.

It is an amenable number.

257896666481 is a deficient number, since it is larger than the sum of its proper divisors (1).

257896666481 is an equidigital number, since it uses as much as digits as its factorization.

257896666481 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 209018880, while the sum is 68.

The spelling of 257896666481 in words is "two hundred fifty-seven billion, eight hundred ninety-six million, six hundred sixty-six thousand, four hundred eighty-one".