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1163765553121 is a prime number
BaseRepresentation
bin10000111011110101110…
…101010001011111100001
311010020212211012111021101
4100323311311101133201
5123031342440144441
62250343154354401
7150036123662143
oct20736565213741
94106784174241
101163765553121
11409606351926
1216966688ba01
13859866cb7b2
14404800c2c93
1520413ab8231
hex10ef5d517e1

1163765553121 has 2 divisors, whose sum is σ = 1163765553122. Its totient is φ = 1163765553120.

The previous prime is 1163765553103. The next prime is 1163765553151. The reversal of 1163765553121 is 1213555673611.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1001810819025 + 161954734096 = 1000905^2 + 402436^2 .

It is a cyclic number.

It is not a de Polignac number, because 1163765553121 - 231 = 1161618069473 is a prime.

It is not a weakly prime, because it can be changed into another prime (1163765553151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 581882776560 + 581882776561.

It is an arithmetic number, because the mean of its divisors is an integer number (581882776561).

Almost surely, 21163765553121 is an apocalyptic number.

It is an amenable number.

1163765553121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1163765553121 is an equidigital number, since it uses as much as digits as its factorization.

1163765553121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 567000, while the sum is 46.

The spelling of 1163765553121 in words is "one trillion, one hundred sixty-three billion, seven hundred sixty-five million, five hundred fifty-three thousand, one hundred twenty-one".