Search a number
-
+
257523222584191 is a prime number
BaseRepresentation
bin111010100011011101001100…
…001101000001101101111111
31020202210222110011100112000211
4322203131030031001231333
5232223230024440143231
62311412311340133251
7105146303344633564
oct7243351415015577
91222728404315024
10257523222584191
1175066a92594413
1224a71886237227
13b09044967b105
14478429495686b
151eb8b83b5beb1
hexea374c341b7f

257523222584191 has 2 divisors, whose sum is σ = 257523222584192. Its totient is φ = 257523222584190.

The previous prime is 257523222584189. The next prime is 257523222584267. The reversal of 257523222584191 is 191485222325752.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257523222584191 - 21 = 257523222584189 is a prime.

Together with 257523222584189, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257523222584101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128761611292095 + 128761611292096.

It is an arithmetic number, because the mean of its divisors is an integer number (128761611292096).

Almost surely, 2257523222584191 is an apocalyptic number.

257523222584191 is a deficient number, since it is larger than the sum of its proper divisors (1).

257523222584191 is an equidigital number, since it uses as much as digits as its factorization.

257523222584191 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192000, while the sum is 58.

The spelling of 257523222584191 in words is "two hundred fifty-seven trillion, five hundred twenty-three billion, two hundred twenty-two million, five hundred eighty-four thousand, one hundred ninety-one".