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527745218113 is a prime number
BaseRepresentation
bin1111010111000000001…
…00001111011001000001
31212110012110201211100101
413223200010033121001
532121310233434423
61042235351322401
753062006224151
oct7534004173101
91773173654311
10527745218113
111938a7465523
1286344980401
133a9c63406b9
141b786010761
15dadb81d7ad
hex7ae010f641

527745218113 has 2 divisors, whose sum is σ = 527745218114. Its totient is φ = 527745218112.

The previous prime is 527745218107. The next prime is 527745218129. The reversal of 527745218113 is 311812547725.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 461104828209 + 66640389904 = 679047^2 + 258148^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-527745218113 is a prime.

It is a super-2 number, since 2×5277452181132 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (527745218713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 263872609056 + 263872609057.

It is an arithmetic number, because the mean of its divisors is an integer number (263872609057).

Almost surely, 2527745218113 is an apocalyptic number.

It is an amenable number.

527745218113 is a deficient number, since it is larger than the sum of its proper divisors (1).

527745218113 is an equidigital number, since it uses as much as digits as its factorization.

527745218113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 470400, while the sum is 46.

The spelling of 527745218113 in words is "five hundred twenty-seven billion, seven hundred forty-five million, two hundred eighteen thousand, one hundred thirteen".