Search a number
-
+
51538541 is a prime number
BaseRepresentation
bin1100010010011…
…0101001101101
310120222102120212
43010212221231
5101143213131
65040352205
71164033065
oct304465155
9116872525
1051538541
112710173a
1215315665
13a8a67a2
146bb83a5
1547d0a2b
hex3126a6d

51538541 has 2 divisors, whose sum is σ = 51538542. Its totient is φ = 51538540.

The previous prime is 51538519. The next prime is 51538589. The reversal of 51538541 is 14583515.

51538541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31922500 + 19616041 = 5650^2 + 4429^2 .

It is a cyclic number.

It is not a de Polignac number, because 51538541 - 222 = 47344237 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 51538498 and 51538507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51538741) 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, 25769270 + 25769271.

It is an arithmetic number, because the mean of its divisors is an integer number (25769271).

Almost surely, 251538541 is an apocalyptic number.

It is an amenable number.

51538541 is a deficient number, since it is larger than the sum of its proper divisors (1).

51538541 is an equidigital number, since it uses as much as digits as its factorization.

51538541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12000, while the sum is 32.

The square root of 51538541 is about 7179.0348237072. The cubic root of 51538541 is about 372.1437303499.

The spelling of 51538541 in words is "fifty-one million, five hundred thirty-eight thousand, five hundred forty-one".