Search a number
-
+
53042513 is a prime number
BaseRepresentation
bin1100101001010…
…1110101010001
310200210211122112
43022111311101
5102034330023
65132515105
71212565616
oct312256521
9120724575
1053042513
1127a39697
121591ba95
13acb2204
14708a50d
1549cb478
hex3295d51

53042513 has 2 divisors, whose sum is σ = 53042514. Its totient is φ = 53042512.

The previous prime is 53042503. The next prime is 53042527. The reversal of 53042513 is 31524035.

53042513 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., 27164944 + 25877569 = 5212^2 + 5087^2 .

It is a cyclic number.

It is not a de Polignac number, because 53042513 - 26 = 53042449 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (53042503) 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, 26521256 + 26521257.

It is an arithmetic number, because the mean of its divisors is an integer number (26521257).

Almost surely, 253042513 is an apocalyptic number.

It is an amenable number.

53042513 is a deficient number, since it is larger than the sum of its proper divisors (1).

53042513 is an equidigital number, since it uses as much as digits as its factorization.

53042513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 53042513 is about 7283.0291088255. The cubic root of 53042513 is about 375.7289831564.

Adding to 53042513 its reverse (31524035), we get a palindrome (84566548).

The spelling of 53042513 in words is "fifty-three million, forty-two thousand, five hundred thirteen".