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957000241 is a prime number
BaseRepresentation
bin111001000010101…
…010101000110001
32110200202122112101
4321002222220301
53424443001431
6234543500401
732500240111
oct7102525061
92420678471
10957000241
1145122449a
122285b7701
13123363142
1491157041
155903a961
hex390aaa31

957000241 has 2 divisors, whose sum is σ = 957000242. Its totient is φ = 957000240.

The previous prime is 957000199. The next prime is 957000259. The reversal of 957000241 is 142000759.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 532640241 + 424360000 = 23079^2 + 20600^2 .

It is an emirp because it is prime and its reverse (142000759) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 957000241 - 211 = 956998193 is a prime.

It is a super-2 number, since 2×9570002412 = 1831698922548116162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (957003241) 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, 478500120 + 478500121.

It is an arithmetic number, because the mean of its divisors is an integer number (478500121).

Almost surely, 2957000241 is an apocalyptic number.

It is an amenable number.

957000241 is a deficient number, since it is larger than the sum of its proper divisors (1).

957000241 is an equidigital number, since it uses as much as digits as its factorization.

957000241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 957000241 is about 30935.4204917276. The cubic root of 957000241 is about 985.4562518231.

The spelling of 957000241 in words is "nine hundred fifty-seven million, two hundred forty-one", and thus it is an aban number.