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51257 is a prime number
BaseRepresentation
bin1100100000111001
32121022102
430200321
53120012
61033145
7302303
oct144071
977272
1051257
1135568
12257b5
131a43b
1414973
15102c2
hexc839

51257 has 2 divisors, whose sum is σ = 51258. Its totient is φ = 51256.

The previous prime is 51241. The next prime is 51263. The reversal of 51257 is 75215.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32761 + 18496 = 181^2 + 136^2 .

It is a cyclic number.

It is not a de Polignac number, because 51257 - 24 = 51241 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51257.

It is not a weakly prime, because it can be changed into another prime (51217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25628 + 25629.

It is an arithmetic number, because the mean of its divisors is an integer number (25629).

251257 is an apocalyptic number.

It is an amenable number.

51257 is a deficient number, since it is larger than the sum of its proper divisors (1).

51257 is an equidigital number, since it uses as much as digits as its factorization.

51257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 350, while the sum is 20.

The square root of 51257 is about 226.4000883392. The cubic root of 51257 is about 37.1464852753.

The spelling of 51257 in words is "fifty-one thousand, two hundred fifty-seven".