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13825079221 is a prime number
BaseRepresentation
bin11001110000000100…
…11111011110110101
31022200111022210101011
430320002133132311
5211303210013341
610203503232221
7666412143262
oct147002373665
938614283334
1013825079221
115954995708
122819ba8671
1313c42c5b65
14952182269
1555daceb81
hex33809f7b5

13825079221 has 2 divisors, whose sum is σ = 13825079222. Its totient is φ = 13825079220.

The previous prime is 13825079189. The next prime is 13825079227. The reversal of 13825079221 is 12297052831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11028150225 + 2796928996 = 105015^2 + 52886^2 .

It is a cyclic number.

It is not a de Polignac number, because 13825079221 - 25 = 13825079189 is a prime.

It is a super-2 number, since 2×138250792212 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13825079227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6912539610 + 6912539611.

It is an arithmetic number, because the mean of its divisors is an integer number (6912539611).

Almost surely, 213825079221 is an apocalyptic number.

It is an amenable number.

13825079221 is a deficient number, since it is larger than the sum of its proper divisors (1).

13825079221 is an equidigital number, since it uses as much as digits as its factorization.

13825079221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 13825079221 in words is "thirteen billion, eight hundred twenty-five million, seventy-nine thousand, two hundred twenty-one".