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766525538113 is a prime number
BaseRepresentation
bin10110010011110000111…
…10110111111101000001
32201021112111000212220221
423021320132313331001
5100024321014204423
61344045330303041
7106244134366456
oct13117036677501
92637474025827
10766525538113
11276099757065
12104683a27a81
135738ab1a08a
14291586c982d
1514e14652e5d
hexb2787b7f41

766525538113 has 2 divisors, whose sum is σ = 766525538114. Its totient is φ = 766525538112.

The previous prime is 766525538111. The next prime is 766525538123. The reversal of 766525538113 is 311835525667.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 442453789584 + 324071748529 = 665172^2 + 569273^2 .

It is a cyclic number.

It is not a de Polignac number, because 766525538113 - 21 = 766525538111 is a prime.

It is a super-2 number, since 2×7665255381132 (a number of 25 digits) contains 22 as substring.

Together with 766525538111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (766525538111) 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, 383262769056 + 383262769057.

It is an arithmetic number, because the mean of its divisors is an integer number (383262769057).

Almost surely, 2766525538113 is an apocalyptic number.

It is an amenable number.

766525538113 is a deficient number, since it is larger than the sum of its proper divisors (1).

766525538113 is an equidigital number, since it uses as much as digits as its factorization.

766525538113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536000, while the sum is 52.

The spelling of 766525538113 in words is "seven hundred sixty-six billion, five hundred twenty-five million, five hundred thirty-eight thousand, one hundred thirteen".