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257394461 is a prime number
BaseRepresentation
bin11110101011110…
…00011100011101
3122221022222211012
433111320130131
51011343110321
641312505005
76243550112
oct1725703435
9587288735
10257394461
111223242a5
127224b165
134143131c
1426282909
15178e505b
hexf57871d

257394461 has 2 divisors, whose sum is σ = 257394462. Its totient is φ = 257394460.

The previous prime is 257394421. The next prime is 257394479. The reversal of 257394461 is 164493752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 233325625 + 24068836 = 15275^2 + 4906^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257394461 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257394421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128697230 + 128697231.

It is an arithmetic number, because the mean of its divisors is an integer number (128697231).

Almost surely, 2257394461 is an apocalyptic number.

It is an amenable number.

257394461 is a deficient number, since it is larger than the sum of its proper divisors (1).

257394461 is an equidigital number, since it uses as much as digits as its factorization.

257394461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 181440, while the sum is 41.

The square root of 257394461 is about 16043.5177252372. The cubic root of 257394461 is about 636.1112342197. Note that the first 3 decimals are identical.

The spelling of 257394461 in words is "two hundred fifty-seven million, three hundred ninety-four thousand, four hundred sixty-one".