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505406166077 is a prime number
BaseRepresentation
bin1110101101011001000…
…11100001010000111101
31210022112121212101220202
413112230203201100331
531240032434303302
61024102544053245
751341302346441
oct7265443412075
91708477771822
10505406166077
1118538367204a
1281b4b604225
1338876199707
141a667212821
15d23056a202
hex75ac8e143d

505406166077 has 2 divisors, whose sum is σ = 505406166078. Its totient is φ = 505406166076.

The previous prime is 505406165993. The next prime is 505406166079. The reversal of 505406166077 is 770661604505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 382920865636 + 122485300441 = 618806^2 + 349979^2 .

It is a cyclic number.

It is not a de Polignac number, because 505406166077 - 210 = 505406165053 is a prime.

Together with 505406166079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505406166079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252703083038 + 252703083039.

It is an arithmetic number, because the mean of its divisors is an integer number (252703083039).

Almost surely, 2505406166077 is an apocalyptic number.

It is an amenable number.

505406166077 is a deficient number, since it is larger than the sum of its proper divisors (1).

505406166077 is an equidigital number, since it uses as much as digits as its factorization.

505406166077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1058400, while the sum is 47.

The spelling of 505406166077 in words is "five hundred five billion, four hundred six million, one hundred sixty-six thousand, seventy-seven".