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512004619873 is a prime number
BaseRepresentation
bin1110111001101011101…
…10100111111001100001
31210221120111000120212101
413130311312213321201
531342041140313443
61031113415530401
751663644314165
oct7346566477141
91727514016771
10512004619873
1118815a29504a
1283291389a01
133938823c346
141aad16c4ca5
15d4b99b784d
hex7735da7e61

512004619873 has 2 divisors, whose sum is σ = 512004619874. Its totient is φ = 512004619872.

The previous prime is 512004619859. The next prime is 512004619877. The reversal of 512004619873 is 378916400215.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 504509042944 + 7495576929 = 710288^2 + 86577^2 .

It is a cyclic number.

It is not a de Polignac number, because 512004619873 - 233 = 503414685281 is a prime.

It is a super-2 number, since 2×5120046198732 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (512004619877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256002309936 + 256002309937.

It is an arithmetic number, because the mean of its divisors is an integer number (256002309937).

It is a 1-persistent number, because it is pandigital, but 2⋅512004619873 = 1024009239746 is not.

Almost surely, 2512004619873 is an apocalyptic number.

It is an amenable number.

512004619873 is a deficient number, since it is larger than the sum of its proper divisors (1).

512004619873 is an equidigital number, since it uses as much as digits as its factorization.

512004619873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 512004619873 in words is "five hundred twelve billion, four million, six hundred nineteen thousand, eight hundred seventy-three".