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257609983 is a prime number
BaseRepresentation
bin11110101101011…
…01000011111111
3122221201221110111
433112231003333
51011422004413
641321250451
76245435341
oct1726550377
9587657414
10257609983
11122461214
1272333a27
13414a8457
14262db291
1517938d3d
hexf5ad0ff

257609983 has 2 divisors, whose sum is σ = 257609984. Its totient is φ = 257609982.

The previous prime is 257609971. The next prime is 257610043. The reversal of 257609983 is 389906752.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257609983 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257609903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128804991 + 128804992.

It is an arithmetic number, because the mean of its divisors is an integer number (128804992).

Almost surely, 2257609983 is an apocalyptic number.

257609983 is a deficient number, since it is larger than the sum of its proper divisors (1).

257609983 is an equidigital number, since it uses as much as digits as its factorization.

257609983 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 816480, while the sum is 49.

The square root of 257609983 is about 16050.2331135719. The cubic root of 257609983 is about 636.2887279625.

The spelling of 257609983 in words is "two hundred fifty-seven million, six hundred nine thousand, nine hundred eighty-three".