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505380553 is a prime number
BaseRepresentation
bin11110000111110…
…111111011001001
31022012221222210021
4132013313323021
52013334134203
6122052020441
715344443456
oct3607677311
91265858707
10505380553
1123a301987
12121301721
138091a162
144b19682d
152e57c5bd
hex1e1f7ec9

505380553 has 2 divisors, whose sum is σ = 505380554. Its totient is φ = 505380552.

The previous prime is 505380523. The next prime is 505380559. The reversal of 505380553 is 355083505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 427993344 + 77387209 = 20688^2 + 8797^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-505380553 is a prime.

It is equal to p26623825 and since 505380553 and 26623825 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (505380559) 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, 252690276 + 252690277.

It is an arithmetic number, because the mean of its divisors is an integer number (252690277).

Almost surely, 2505380553 is an apocalyptic number.

It is an amenable number.

505380553 is a deficient number, since it is larger than the sum of its proper divisors (1).

505380553 is an equidigital number, since it uses as much as digits as its factorization.

505380553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45000, while the sum is 34.

The square root of 505380553 is about 22480.6706528075. The cubic root of 505380553 is about 796.5374060303.

The spelling of 505380553 in words is "five hundred five million, three hundred eighty thousand, five hundred fifty-three".