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512096257 is a prime number
BaseRepresentation
bin11110100001011…
…111100000000001
31022200121012000001
4132201133200001
52022044040012
6122452000001
715455514001
oct3641374001
91280535001
10512096257
11243079552
12123600001
138212bb4a
144c024001
152ee57357
hex1e85f801

512096257 has 2 divisors, whose sum is σ = 512096258. Its totient is φ = 512096256.

The previous prime is 512096251. The next prime is 512096269. The reversal of 512096257 is 752690215.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 497111616 + 14984641 = 22296^2 + 3871^2 .

It is a cyclic number.

It is not a de Polignac number, because 512096257 - 27 = 512096129 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (512096251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256048128 + 256048129.

It is an arithmetic number, because the mean of its divisors is an integer number (256048129).

Almost surely, 2512096257 is an apocalyptic number.

It is an amenable number.

512096257 is a deficient number, since it is larger than the sum of its proper divisors (1).

512096257 is an equidigital number, since it uses as much as digits as its factorization.

512096257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 512096257 is about 22629.5438973038. The cubic root of 512096257 is about 800.0501307127.

The spelling of 512096257 in words is "five hundred twelve million, ninety-six thousand, two hundred fifty-seven".