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257424241 is a prime number
BaseRepresentation
bin11110101011111…
…11101101110001
3122221101111200011
433111333231301
51011400033431
641313254521
76244032664
oct1725775561
9587344604
10257424241
11122344708
1272264441
1341441a49
142628d6db
15178edcb1
hexf57fb71

257424241 has 2 divisors, whose sum is σ = 257424242. Its totient is φ = 257424240.

The previous prime is 257424229. The next prime is 257424259. The reversal of 257424241 is 142424752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 147258225 + 110166016 = 12135^2 + 10496^2 .

It is a cyclic number.

It is not a de Polignac number, because 257424241 - 27 = 257424113 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (257404241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128712120 + 128712121.

It is an arithmetic number, because the mean of its divisors is an integer number (128712121).

Almost surely, 2257424241 is an apocalyptic number.

It is an amenable number.

257424241 is a deficient number, since it is larger than the sum of its proper divisors (1).

257424241 is an equidigital number, since it uses as much as digits as its factorization.

257424241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17920, while the sum is 31.

The square root of 257424241 is about 16044.4457990920. The cubic root of 257424241 is about 636.1357655195.

Adding to 257424241 its reverse (142424752), we get a palindrome (399848993).

The spelling of 257424241 in words is "two hundred fifty-seven million, four hundred twenty-four thousand, two hundred forty-one".