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51361 is a prime number
BaseRepresentation
bin1100100010100001
32121110021
430202201
53120421
61033441
7302512
oct144241
977407
1051361
1135652
1225881
131a4bb
1414a09
1510341
hexc8a1

51361 has 2 divisors, whose sum is σ = 51362. Its totient is φ = 51360.

The previous prime is 51349. The next prime is 51383. The reversal of 51361 is 16315.

Adding to 51361 its reverse (16315), we get a palindrome (67676).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30625 + 20736 = 175^2 + 144^2 .

It is a cyclic number.

It is not a de Polignac number, because 51361 - 25 = 51329 is a prime.

It is a pancake number, because a pancake can be divided into 51361 parts by 320 straight cuts.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25680 + 25681.

It is an arithmetic number, because the mean of its divisors is an integer number (25681).

251361 is an apocalyptic number.

It is an amenable number.

51361 is a deficient number, since it is larger than the sum of its proper divisors (1).

51361 is an equidigital number, since it uses as much as digits as its factorization.

51361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 90, while the sum is 16.

The square root of 51361 is about 226.6296538408. The cubic root of 51361 is about 37.1715915996.

The spelling of 51361 in words is "fifty-one thousand, three hundred sixty-one".