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505351522129 is a prime number
BaseRepresentation
bin1110101101010010100…
…11000100011101010001
31210022101211001012111211
413112221103010131101
531234424442202004
61024053312540121
751340040030566
oct7265123043521
91708354035454
10505351522129
1118535583a263
1281b35251641
1338867a7660c
141a65dc6a86d
15d22a874504
hex75a94c4751

505351522129 has 2 divisors, whose sum is σ = 505351522130. Its totient is φ = 505351522128.

The previous prime is 505351522111. The next prime is 505351522133. The reversal of 505351522129 is 921225153505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287056993729 + 218294528400 = 535777^2 + 467220^2 .

It is a cyclic number.

It is not a de Polignac number, because 505351522129 - 211 = 505351520081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505351522091 and 505351522100.

It is not a weakly prime, because it can be changed into another prime (505351526129) 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, 252675761064 + 252675761065.

It is an arithmetic number, because the mean of its divisors is an integer number (252675761065).

Almost surely, 2505351522129 is an apocalyptic number.

It is an amenable number.

505351522129 is a deficient number, since it is larger than the sum of its proper divisors (1).

505351522129 is an equidigital number, since it uses as much as digits as its factorization.

505351522129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135000, while the sum is 40.

The spelling of 505351522129 in words is "five hundred five billion, three hundred fifty-one million, five hundred twenty-two thousand, one hundred twenty-nine".