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257459317 is a prime number
BaseRepresentation
bin11110101100010…
…00010001110101
3122221110021210021
433112020101311
51011402144232
641314125141
76244240153
oct1726102165
9587407707
10257459317
11122368aa5
12722807b1
13414549bb
142629c3d3
1517909397
hexf588475

257459317 has 2 divisors, whose sum is σ = 257459318. Its totient is φ = 257459316.

The previous prime is 257459311. The next prime is 257459327. The reversal of 257459317 is 713954752.

257459317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 221146641 + 36312676 = 14871^2 + 6026^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257459317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257459311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128729658 + 128729659.

It is an arithmetic number, because the mean of its divisors is an integer number (128729659).

Almost surely, 2257459317 is an apocalyptic number.

It is an amenable number.

257459317 is a deficient number, since it is larger than the sum of its proper divisors (1).

257459317 is an equidigital number, since it uses as much as digits as its factorization.

257459317 is an evil number, because the sum of its binary digits is even.

The product of its digits is 264600, while the sum is 43.

The square root of 257459317 is about 16045.5388504095. The cubic root of 257459317 is about 636.1646569772.

The spelling of 257459317 in words is "two hundred fifty-seven million, four hundred fifty-nine thousand, three hundred seventeen".