45013 has 2 divisors, whose sum is σ = 45014. Its totient is φ = 45012.

The previous prime is 45007. The next prime is 45053. The reversal of 45013 is 31054.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26244 + 18769 = 162^2 + 137^2 .

It is a cyclic number.

It is not a de Polignac number, because 45013 - 2⁹ = 44501 is a prime.

45013 is a lucky number.

It is a nialpdrome in base 6.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 44984 and 45002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45053) 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, 22506 + 22507.

It is an arithmetic number, because the mean of its divisors is an integer number (22507).

2⁴⁵⁰¹³ is an apocalyptic number.

It is an amenable number.

45013 is a deficient number, since it is larger than the sum of its proper divisors (1).

45013 is an equidigital number, since it uses as much as digits as its factorization.

45013 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 45013 is about 212.1626734372. The cubic root of 45013 is about 35.5723578716.

Adding to 45013 its reverse (31054), we get a palindrome (76067).

The spelling of 45013 in words is "forty-five thousand, thirteen".