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503656555240561 is a prime number
BaseRepresentation
bin111001010000100101010111…
…0000100000101110001110001
32110001022002121022100212112011
41302201022232010011301301
51012003402111120144221
64543104343254402521
7211041661646610202
oct16241125604056161
92401262538325464
10503656555240561
11136531600152378
12485a4021360441
13188057bca13478
148c5317078b5a9
153d363e20b81e1
hex1ca12ae105c71

503656555240561 has 2 divisors, whose sum is σ = 503656555240562. Its totient is φ = 503656555240560.

The previous prime is 503656555240543. The next prime is 503656555240583. The reversal of 503656555240561 is 165042555656305.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 457557126642225 + 46099428598336 = 21390585^2 + 6789656^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-503656555240561 is a prime.

It is a super-2 number, since 2×5036565552405612 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 503656555240496 and 503656555240505.

It is not a weakly prime, because it can be changed into another prime (503656555240511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 251828277620280 + 251828277620281.

It is an arithmetic number, because the mean of its divisors is an integer number (251828277620281).

Almost surely, 2503656555240561 is an apocalyptic number.

It is an amenable number.

503656555240561 is a deficient number, since it is larger than the sum of its proper divisors (1).

503656555240561 is an equidigital number, since it uses as much as digits as its factorization.

503656555240561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81000000, while the sum is 58.

The spelling of 503656555240561 in words is "five hundred three trillion, six hundred fifty-six billion, five hundred fifty-five million, two hundred forty thousand, five hundred sixty-one".