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505774081 is a prime number
BaseRepresentation
bin11110001001011…
…000000000000001
31022020200222121101
4132021120000001
52013434232311
6122104254401
715351003001
oct3611300001
91266628541
10505774081
1123a55060a
12121471401
1380a27307
144b25a001
152e608ec1
hex1e258001

505774081 has 2 divisors, whose sum is σ = 505774082. Its totient is φ = 505774080.

The previous prime is 505774067. The next prime is 505774111. The reversal of 505774081 is 180477505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 501043456 + 4730625 = 22384^2 + 2175^2 .

It is a cyclic number.

It is not a de Polignac number, because 505774081 - 213 = 505765889 is a prime.

It is a super-2 number, since 2×5057740812 = 511614842022789122, which contains 22 as substring.

It is equal to p26643457 and since 505774081 and 26643457 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505774081.

It is not a weakly prime, because it can be changed into another prime (505774001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252887040 + 252887041.

It is an arithmetic number, because the mean of its divisors is an integer number (252887041).

It is a Proth number, since it is equal to 15435 ⋅ 215 + 1 and 15435 < 215.

Almost surely, 2505774081 is an apocalyptic number.

It is an amenable number.

505774081 is a deficient number, since it is larger than the sum of its proper divisors (1).

505774081 is an equidigital number, since it uses as much as digits as its factorization.

505774081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39200, while the sum is 37.

The square root of 505774081 is about 22489.4215354686. The cubic root of 505774081 is about 796.7441007309.

The spelling of 505774081 in words is "five hundred five million, seven hundred seventy-four thousand, eighty-one".