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582575990137 is a prime number
BaseRepresentation
bin10000111101001000011…
…11000010010101111001
32001200201201111122101121
420132210033002111321
534021103423141022
61123344241145241
760042530132311
oct10364417022571
92050651448347
10582575990137
11205083a60049
1294aa762b221
1342c23b6a1bb
14202a8150441
151024a33d2c7
hex87a43c2579

582575990137 has 2 divisors, whose sum is σ = 582575990138. Its totient is φ = 582575990136.

The previous prime is 582575990071. The next prime is 582575990149. The reversal of 582575990137 is 731099575285.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 568906639081 + 13669351056 = 754259^2 + 116916^2 .

It is a cyclic number.

It is not a de Polignac number, because 582575990137 - 211 = 582575988089 is a prime.

It is not a weakly prime, because it can be changed into another prime (582575990177) 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, 291287995068 + 291287995069.

It is an arithmetic number, because the mean of its divisors is an integer number (291287995069).

Almost surely, 2582575990137 is an apocalyptic number.

It is an amenable number.

582575990137 is a deficient number, since it is larger than the sum of its proper divisors (1).

582575990137 is an equidigital number, since it uses as much as digits as its factorization.

582575990137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23814000, while the sum is 61.

The spelling of 582575990137 in words is "five hundred eighty-two billion, five hundred seventy-five million, nine hundred ninety thousand, one hundred thirty-seven".