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257567393 is a prime number
BaseRepresentation
bin11110101101000…
…10101010100001
3122221122210001002
433112202222201
51011414124033
641320321345
76245200226
oct1726425241
9587583032
10257567393
11122432216
1272313255
1341491c55
14262c994d
151792b3e8
hexf5a2aa1

257567393 has 2 divisors, whose sum is σ = 257567394. Its totient is φ = 257567392.

The previous prime is 257567381. The next prime is 257567399. The reversal of 257567393 is 393765752.

257567393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149989009 + 107578384 = 12247^2 + 10372^2 .

It is a cyclic number.

It is not a de Polignac number, because 257567393 - 26 = 257567329 is a prime.

It is not a weakly prime, because it can be changed into another prime (257567399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128783696 + 128783697.

It is an arithmetic number, because the mean of its divisors is an integer number (128783697).

Almost surely, 2257567393 is an apocalyptic number.

It is an amenable number.

257567393 is a deficient number, since it is larger than the sum of its proper divisors (1).

257567393 is an equidigital number, since it uses as much as digits as its factorization.

257567393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1190700, while the sum is 47.

The square root of 257567393 is about 16048.9062867225. The cubic root of 257567393 is about 636.2536607002.

The spelling of 257567393 in words is "two hundred fifty-seven million, five hundred sixty-seven thousand, three hundred ninety-three".