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505050504997 is a prime number
BaseRepresentation
bin1110101100101110101…
…10110001111100100101
31210021121211121221122011
413112113112301330211
531233320412124442
61024003401034221
751326423313613
oct7262726617445
91707554557564
10505050504997
11185210930675
1281a70485971
133881a5b087c
141a631cb06b3
15d20e214117
hex75975b1f25

505050504997 has 2 divisors, whose sum is σ = 505050504998. Its totient is φ = 505050504996.

The previous prime is 505050504991. The next prime is 505050505021. The reversal of 505050504997 is 799405050505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 504080120196 + 970384801 = 709986^2 + 31151^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-505050504997 is a prime.

It is a super-3 number, since 3×5050505049973 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 505050504997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505050504991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252525252498 + 252525252499.

It is an arithmetic number, because the mean of its divisors is an integer number (252525252499).

Almost surely, 2505050504997 is an apocalyptic number.

It is an amenable number.

505050504997 is a deficient number, since it is larger than the sum of its proper divisors (1).

505050504997 is an equidigital number, since it uses as much as digits as its factorization.

505050504997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1417500, while the sum is 49.

The spelling of 505050504997 in words is "five hundred five billion, fifty million, five hundred four thousand, nine hundred ninety-seven".