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1291675828361 is a prime number
BaseRepresentation
bin10010110010111101111…
…000010000000010001001
311120111001002221201102212
4102302331320100002021
5132130323003001421
62425215423434505
7162214634246402
oct22627570200211
94514032851385
101291675828361
114588843708a6
1218a403755a35
1394a5c6723a9
1446735c189a9
15238ed243e5b
hex12cbde10089

1291675828361 has 2 divisors, whose sum is σ = 1291675828362. Its totient is φ = 1291675828360.

The previous prime is 1291675828357. The next prime is 1291675828367. The reversal of 1291675828361 is 1638285761921.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1127504185600 + 164171642761 = 1061840^2 + 405181^2 .

It is a cyclic number.

It is not a de Polignac number, because 1291675828361 - 22 = 1291675828357 is a prime.

It is a super-3 number, since 3×12916758283613 (a number of 37 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1291675828361.

It is not a weakly prime, because it can be changed into another prime (1291675828367) 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, 645837914180 + 645837914181.

It is an arithmetic number, because the mean of its divisors is an integer number (645837914181).

Almost surely, 21291675828361 is an apocalyptic number.

It is an amenable number.

1291675828361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1291675828361 is an equidigital number, since it uses as much as digits as its factorization.

1291675828361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8709120, while the sum is 59.

The spelling of 1291675828361 in words is "one trillion, two hundred ninety-one billion, six hundred seventy-five million, eight hundred twenty-eight thousand, three hundred sixty-one".