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19953137 is a prime number
BaseRepresentation
bin100110000011…
…1010111110001
31101112201120002
41030013113301
520102000022
61551355345
7331412261
oct114072761
941481502
1019953137
11102990a6
126822b55
134197cb9
1429157a1
151b42092
hex13075f1

19953137 has 2 divisors, whose sum is σ = 19953138. Its totient is φ = 19953136.

The previous prime is 19953083. The next prime is 19953139. The reversal of 19953137 is 73135991.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12988816 + 6964321 = 3604^2 + 2639^2 .

It is a cyclic number.

It is not a de Polignac number, because 19953137 - 210 = 19952113 is a prime.

It is a super-2 number, since 2×199531372 = 796255352281538, which contains 22 as substring.

Together with 19953139, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 19953137.

It is not a weakly prime, because it can be changed into another prime (19953139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9976568 + 9976569.

It is an arithmetic number, because the mean of its divisors is an integer number (9976569).

Almost surely, 219953137 is an apocalyptic number.

It is an amenable number.

19953137 is a deficient number, since it is larger than the sum of its proper divisors (1).

19953137 is an equidigital number, since it uses as much as digits as its factorization.

19953137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25515, while the sum is 38.

The square root of 19953137 is about 4466.8934395170. The cubic root of 19953137 is about 271.2295862656.

The spelling of 19953137 in words is "nineteen million, nine hundred fifty-three thousand, one hundred thirty-seven".