Search a number
-
+
53127733 is a prime number
BaseRepresentation
bin1100101010101…
…0101000110101
310200222011112211
43022222220311
5102100041413
65134413421
71213402231
oct312525065
9120864484
1053127733
1127a9771a
1215961271
13b011c39
1470ad5c1
1549e683d
hex32aaa35

53127733 has 2 divisors, whose sum is σ = 53127734. Its totient is φ = 53127732.

The previous prime is 53127691. The next prime is 53127751. The reversal of 53127733 is 33772135.

53127733 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., 39162564 + 13965169 = 6258^2 + 3737^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-53127733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 53127695 and 53127704.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53127793) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26563866 + 26563867.

It is an arithmetic number, because the mean of its divisors is an integer number (26563867).

Almost surely, 253127733 is an apocalyptic number.

It is an amenable number.

53127733 is a deficient number, since it is larger than the sum of its proper divisors (1).

53127733 is an equidigital number, since it uses as much as digits as its factorization.

53127733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13230, while the sum is 31.

The square root of 53127733 is about 7288.8773483987. The cubic root of 53127733 is about 375.9300953679.

Adding to 53127733 its reverse (33772135), we get a palindrome (86899868).

The spelling of 53127733 in words is "fifty-three million, one hundred twenty-seven thousand, seven hundred thirty-three".