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10527905422117 is a prime number
BaseRepresentation
bin1001100100110011100000…
…0100000001101100100101
31101021110100211102021202101
42121030320010001230211
52334442122242001432
634220241502212101
72134421211400516
oct231147004015445
941243324367671
1010527905422117
113399950170146
121220466284031
135b4a1472b495
142857a6522a0d
15133cc58594e7
hex99338101b25

10527905422117 has 2 divisors, whose sum is σ = 10527905422118. Its totient is φ = 10527905422116.

The previous prime is 10527905422039. The next prime is 10527905422169. The reversal of 10527905422117 is 71122450972501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10493977992481 + 33927429636 = 3239441^2 + 184194^2 .

It is a cyclic number.

It is not a de Polignac number, because 10527905422117 - 211 = 10527905420069 is a prime.

It is a super-2 number, since 2×105279054221172 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10527905462117) 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, 5263952711058 + 5263952711059.

It is an arithmetic number, because the mean of its divisors is an integer number (5263952711059).

Almost surely, 210527905422117 is an apocalyptic number.

It is an amenable number.

10527905422117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10527905422117 is an equidigital number, since it uses as much as digits as its factorization.

10527905422117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 352800, while the sum is 46.

The spelling of 10527905422117 in words is "ten trillion, five hundred twenty-seven billion, nine hundred five million, four hundred twenty-two thousand, one hundred seventeen".