Search a number
-
+
51538777 is a prime number
BaseRepresentation
bin1100010010011…
…0101101011001
310120222102220121
43010212231121
5101143220102
65040353241
71164033553
oct304465531
9116872817
1051538777
1127101934
1215315821
13a8a6924
146bb84d3
1547d0b37
hex3126b59

51538777 has 2 divisors, whose sum is σ = 51538778. Its totient is φ = 51538776.

The previous prime is 51538741. The next prime is 51538783. The reversal of 51538777 is 77783515.

51538777 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37015056 + 14523721 = 6084^2 + 3811^2 .

It is a cyclic number.

It is not a de Polignac number, because 51538777 - 211 = 51536729 is a prime.

It is not a weakly prime, because it can be changed into another prime (51538727) 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, 25769388 + 25769389.

It is an arithmetic number, because the mean of its divisors is an integer number (25769389).

Almost surely, 251538777 is an apocalyptic number.

It is an amenable number.

51538777 is a deficient number, since it is larger than the sum of its proper divisors (1).

51538777 is an equidigital number, since it uses as much as digits as its factorization.

51538777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 205800, while the sum is 43.

The square root of 51538777 is about 7179.0512604382. The cubic root of 51538777 is about 372.1442983765.

The spelling of 51538777 in words is "fifty-one million, five hundred thirty-eight thousand, seven hundred seventy-seven".