Search a number
-
+
53813 is a prime number
BaseRepresentation
bin1101001000110101
32201211002
431020311
53210223
61053045
7312614
oct151065
981732
1053813
1137481
1227185
131b656
141587b
1510e28
hexd235

53813 has 2 divisors, whose sum is σ = 53814. Its totient is φ = 53812.

The previous prime is 53791. The next prime is 53819. The reversal of 53813 is 31835.

53813 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., 47089 + 6724 = 217^2 + 82^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-53813 is a prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26906 + 26907.

It is an arithmetic number, because the mean of its divisors is an integer number (26907).

253813 is an apocalyptic number.

It is an amenable number.

53813 is a deficient number, since it is larger than the sum of its proper divisors (1).

53813 is an equidigital number, since it uses as much as digits as its factorization.

53813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 360, while the sum is 20.

The square root of 53813 is about 231.9762918921. The cubic root of 53813 is about 37.7539504367.

The spelling of 53813 in words is "fifty-three thousand, eight hundred thirteen".