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505393770041 is a prime number
BaseRepresentation
bin1110101101010111101…
…00001110111000111001
31210022111202112121202022
413112223310032320321
531240021301120131
61024101422244225
751341062110416
oct7265364167071
91708452477668
10505393770041
11185377675796
1281b47426675
1338873749394
141a66570710d
15d22e41c37b
hex75abd0ee39

505393770041 has 2 divisors, whose sum is σ = 505393770042. Its totient is φ = 505393770040.

The previous prime is 505393769963. The next prime is 505393770059. The reversal of 505393770041 is 140077393505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 265607267641 + 239786502400 = 515371^2 + 489680^2 .

It is a cyclic number.

It is not a de Polignac number, because 505393770041 - 222 = 505389575737 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 505393769974 and 505393770001.

It is not a weakly prime, because it can be changed into another prime (505393770341) 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, 252696885020 + 252696885021.

It is an arithmetic number, because the mean of its divisors is an integer number (252696885021).

Almost surely, 2505393770041 is an apocalyptic number.

It is an amenable number.

505393770041 is a deficient number, since it is larger than the sum of its proper divisors (1).

505393770041 is an equidigital number, since it uses as much as digits as its factorization.

505393770041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 396900, while the sum is 44.

The spelling of 505393770041 in words is "five hundred five billion, three hundred ninety-three million, seven hundred seventy thousand, forty-one".