Search a number
-
+
257163317 is a prime number
BaseRepresentation
bin11110101010000…
…00000000110101
3122220220020202022
433111000000311
51011313211232
641303522525
76241565165
oct1725000065
9586806668
10257163317
11122186674
1272159445
1341380058
14262225a5
151789b812
hexf540035

257163317 has 2 divisors, whose sum is σ = 257163318. Its totient is φ = 257163316.

The previous prime is 257163287. The next prime is 257163323. The reversal of 257163317 is 713361752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171767236 + 85396081 = 13106^2 + 9241^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257163317 is a prime.

It is a super-2 number, since 2×2571633172 = 132265943220884978, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257163217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128581658 + 128581659.

It is an arithmetic number, because the mean of its divisors is an integer number (128581659).

Almost surely, 2257163317 is an apocalyptic number.

It is an amenable number.

257163317 is a deficient number, since it is larger than the sum of its proper divisors (1).

257163317 is an equidigital number, since it uses as much as digits as its factorization.

257163317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26460, while the sum is 35.

The square root of 257163317 is about 16036.3124501863. The cubic root of 257163317 is about 635.9207647885.

The spelling of 257163317 in words is "two hundred fifty-seven million, one hundred sixty-three thousand, three hundred seventeen".