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259012993 is a prime number
BaseRepresentation
bin11110111000000…
…11100110000001
3200001101020000211
433130003212001
51012301403433
641411314121
76263400631
oct1734034601
9601336024
10259012993
1112322a328
12728ab941
1341879c35
14265846c1
1517b148cd
hexf703981

259012993 has 2 divisors, whose sum is σ = 259012994. Its totient is φ = 259012992.

The previous prime is 259012973. The next prime is 259013033. The reversal of 259012993 is 399210952.

It is an a-pointer prime, because the next prime (259013033) can be obtained adding 259012993 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 249103089 + 9909904 = 15783^2 + 3148^2 .

It is a cyclic number.

It is not a de Polignac number, because 259012993 - 217 = 258881921 is a prime.

It is not a weakly prime, because it can be changed into another prime (259012903) 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, 129506496 + 129506497.

It is an arithmetic number, because the mean of its divisors is an integer number (129506497).

Almost surely, 2259012993 is an apocalyptic number.

It is an amenable number.

259012993 is a deficient number, since it is larger than the sum of its proper divisors (1).

259012993 is an equidigital number, since it uses as much as digits as its factorization.

259012993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43740, while the sum is 40.

The square root of 259012993 is about 16093.8806072370. The cubic root of 259012993 is about 637.4417677426.

The spelling of 259012993 in words is "two hundred fifty-nine million, twelve thousand, nine hundred ninety-three".