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257117971963 is a prime number
BaseRepresentation
bin1110111101110101101…
…1001110010111111011
3220120122222211022000111
43233131123032113323
513203034200100323
6314041322245151
724401423462416
oct3573533162773
9816588738014
10257117971963
119a052434a06
12419b83567b7
131b32795b918
14c631cbab7d
156a4cb87c0d
hex3bdd6ce5fb

257117971963 has 2 divisors, whose sum is σ = 257117971964. Its totient is φ = 257117971962.

The previous prime is 257117971961. The next prime is 257117971969. The reversal of 257117971963 is 369179711752.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257117971963 - 21 = 257117971961 is a prime.

It is a super-2 number, since 2×2571179719632 (a number of 24 digits) contains 22 as substring.

Together with 257117971961, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 257117971898 and 257117971907.

It is not a weakly prime, because it can be changed into another prime (257117971961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128558985981 + 128558985982.

It is an arithmetic number, because the mean of its divisors is an integer number (128558985982).

Almost surely, 2257117971963 is an apocalyptic number.

257117971963 is a deficient number, since it is larger than the sum of its proper divisors (1).

257117971963 is an equidigital number, since it uses as much as digits as its factorization.

257117971963 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5000940, while the sum is 58.

The spelling of 257117971963 in words is "two hundred fifty-seven billion, one hundred seventeen million, nine hundred seventy-one thousand, nine hundred sixty-three".