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1005251339 is a prime number
BaseRepresentation
bin111011111010101…
…110101100001011
32121001120001121002
4323322232230023
54024321020324
6243430005215
733624331631
oct7372565413
92531501532
101005251339
11476490234
122407a680b
131303584a1
1497717351
155d3bc3ae
hex3beaeb0b

1005251339 has 2 divisors, whose sum is σ = 1005251340. Its totient is φ = 1005251338.

The previous prime is 1005251333. The next prime is 1005251383. The reversal of 1005251339 is 9331525001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1005251339 is a prime.

It is a super-4 number, since 4×10052513394 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1005251333) 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, 502625669 + 502625670.

It is an arithmetic number, because the mean of its divisors is an integer number (502625670).

Almost surely, 21005251339 is an apocalyptic number.

1005251339 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005251339 is an equidigital number, since it uses as much as digits as its factorization.

1005251339 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4050, while the sum is 29.

The square root of 1005251339 is about 31705.6988410601. The cubic root of 1005251339 is about 1001.7473911789.

The spelling of 1005251339 in words is "one billion, five million, two hundred fifty-one thousand, three hundred thirty-nine".