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257435141 is a prime number
BaseRepresentation
bin11110101100000…
…10011000000101
3122221102001121212
433112002120011
51011400411031
641313421205
76244106525
oct1726023005
9587361555
10257435141
11122351917
127226a805
13414469b2
1426293685
151790212b
hexf582605

257435141 has 2 divisors, whose sum is σ = 257435142. Its totient is φ = 257435140.

The previous prime is 257435119. The next prime is 257435147. The reversal of 257435141 is 141534752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 232684516 + 24750625 = 15254^2 + 4975^2 .

It is a cyclic number.

It is not a de Polignac number, because 257435141 - 26 = 257435077 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 257435098 and 257435107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257435147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128717570 + 128717571.

It is an arithmetic number, because the mean of its divisors is an integer number (128717571).

Almost surely, 2257435141 is an apocalyptic number.

It is an amenable number.

257435141 is a deficient number, since it is larger than the sum of its proper divisors (1).

257435141 is an equidigital number, since it uses as much as digits as its factorization.

257435141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 16800, while the sum is 32.

The square root of 257435141 is about 16044.7854769081. The cubic root of 257435141 is about 636.1447439306.

Adding to 257435141 its reverse (141534752), we get a palindrome (398969893).

The spelling of 257435141 in words is "two hundred fifty-seven million, four hundred thirty-five thousand, one hundred forty-one".