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54013 is a prime number
BaseRepresentation
bin1101001011111101
32202002111
431023331
53212023
61054021
7313321
oct151375
982074
1054013
1137643
1227311
131b77b
1415981
151100d
hexd2fd

54013 has 2 divisors, whose sum is σ = 54014. Its totient is φ = 54012.

The previous prime is 54011. The next prime is 54037. The reversal of 54013 is 31045.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34969 + 19044 = 187^2 + 138^2 .

It is a cyclic number.

It is not a de Polignac number, because 54013 - 21 = 54011 is a prime.

Together with 54011, it forms a pair of twin primes.

It is equal to p5503 and since 54013 and 5503 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 53984 and 54002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27006 + 27007.

It is an arithmetic number, because the mean of its divisors is an integer number (27007).

254013 is an apocalyptic number.

It is an amenable number.

54013 is a deficient number, since it is larger than the sum of its proper divisors (1).

54013 is an equidigital number, since it uses as much as digits as its factorization.

54013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 54013 is about 232.4069706356. The cubic root of 54013 is about 37.8006643967.

Adding to 54013 its reverse (31045), we get a palindrome (85058).

The spelling of 54013 in words is "fifty-four thousand, thirteen".