Search a number
-
+
54355013 is a prime number
BaseRepresentation
bin1100111101011…
…0010001000101
310210021112001122
43033112101011
5102403330023
65221003325
71230003266
oct317262105
9123245048
1054355013
11287557a9
1216253545
13b35173b
14730c96d
154b8a2c8
hex33d6445

54355013 has 2 divisors, whose sum is σ = 54355014. Its totient is φ = 54355012.

The previous prime is 54354941. The next prime is 54355027. The reversal of 54355013 is 31055345.

54355013 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., 35545444 + 18809569 = 5962^2 + 4337^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54355013 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54355033) 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, 27177506 + 27177507.

It is an arithmetic number, because the mean of its divisors is an integer number (27177507).

Almost surely, 254355013 is an apocalyptic number.

It is an amenable number.

54355013 is a deficient number, since it is larger than the sum of its proper divisors (1).

54355013 is an equidigital number, since it uses as much as digits as its factorization.

54355013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 54355013 is about 7372.5852317895. The cubic root of 54355013 is about 378.8028181376.

The spelling of 54355013 in words is "fifty-four million, three hundred fifty-five thousand, thirteen".