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10528828337 is a prime number
BaseRepresentation
bin10011100111001000…
…10010101110110001
31000011202211220020002
421303210102232301
5133030340001322
64500433155345
7521625364346
oct116344225661
930152756202
1010528828337
114513281625
12205a0bbb55
13cba427151
1471c4a07cd
1541951cc92
hex273912bb1

10528828337 has 2 divisors, whose sum is σ = 10528828338. Its totient is φ = 10528828336.

The previous prime is 10528828291. The next prime is 10528828351. The reversal of 10528828337 is 73382882501.

It is a happy number.

10528828337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10415427136 + 113401201 = 102056^2 + 10649^2 .

It is a cyclic number.

It is not a de Polignac number, because 10528828337 - 232 = 6233861041 is a prime.

It is a super-2 number, since 2×105288283372 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10528828291 and 10528828300.

It is not a weakly prime, because it can be changed into another prime (10528828837) 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, 5264414168 + 5264414169.

It is an arithmetic number, because the mean of its divisors is an integer number (5264414169).

Almost surely, 210528828337 is an apocalyptic number.

It is an amenable number.

10528828337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10528828337 is an equidigital number, since it uses as much as digits as its factorization.

10528828337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 10528828337 in words is "ten billion, five hundred twenty-eight million, eight hundred twenty-eight thousand, three hundred thirty-seven".