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504652657314161 is a prime number
BaseRepresentation
bin111001010111110101001101…
…0010111111100100101110001
32110011211022201101011010012202
41302233222122113330211301
51012121212120233023121
64545150121423032545
7211203644203542266
oct16257523227744561
92404738641133182
10504652657314161
11136885a98871494
1248725095a3b755
1318878706578b85
148c8946725126d
153d5229151d40b
hex1cafa9a5fc971

504652657314161 has 2 divisors, whose sum is σ = 504652657314162. Its totient is φ = 504652657314160.

The previous prime is 504652657313957. The next prime is 504652657314173. The reversal of 504652657314161 is 161413756256405.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 455233430440000 + 49419226874161 = 21336200^2 + 7029881^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-504652657314161 is a prime.

It is a super-2 number, since 2×5046526573141612 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 504652657314097 and 504652657314106.

It is not a weakly prime, because it can be changed into another prime (504652657314181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252326328657080 + 252326328657081.

It is an arithmetic number, because the mean of its divisors is an integer number (252326328657081).

Almost surely, 2504652657314161 is an apocalyptic number.

It is an amenable number.

504652657314161 is a deficient number, since it is larger than the sum of its proper divisors (1).

504652657314161 is an equidigital number, since it uses as much as digits as its factorization.

504652657314161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144000, while the sum is 56.

The spelling of 504652657314161 in words is "five hundred four trillion, six hundred fifty-two billion, six hundred fifty-seven million, three hundred fourteen thousand, one hundred sixty-one".