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257668963 is a prime number
BaseRepresentation
bin11110101101110…
…11011101100011
3122221211221100221
433112323131203
51011430401323
641322423511
76246102316
oct1726733543
9587757327
10257668963
111224a1562
1272361b97
13414c9256
142631497d
151794b55d
hexf5bb763

257668963 has 2 divisors, whose sum is σ = 257668964. Its totient is φ = 257668962.

The previous prime is 257668921. The next prime is 257668979. The reversal of 257668963 is 369866752.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257668963 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257668963.

It is not a weakly prime, because it can be changed into another prime (257608963) 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, 128834481 + 128834482.

It is an arithmetic number, because the mean of its divisors is an integer number (128834482).

Almost surely, 2257668963 is an apocalyptic number.

257668963 is a deficient number, since it is larger than the sum of its proper divisors (1).

257668963 is an equidigital number, since it uses as much as digits as its factorization.

257668963 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3265920, while the sum is 52.

The square root of 257668963 is about 16052.0703649093. The cubic root of 257668963 is about 636.3372838518.

It can be divided in two parts, 2576689 and 63, that added together give a palindrome (2576752).

The spelling of 257668963 in words is "two hundred fifty-seven million, six hundred sixty-eight thousand, nine hundred sixty-three".