493013 has 2 divisors, whose sum is σ = 493014. Its totient is φ = 493012.

The previous prime is 493001. The next prime is 493021. The reversal of 493013 is 310394.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 465124 + 27889 = 682^2 + 167^2 .

It is a cyclic number.

It is not a de Polignac number, because 493013 - 2⁸ = 492757 is a prime.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 493013.

It is not a weakly prime, because it can be changed into another prime (493043) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 246506 + 246507.

It is an arithmetic number, because the mean of its divisors is an integer number (246507).

2⁴⁹³⁰¹³ is an apocalyptic number.

It is an amenable number.

493013 is a deficient number, since it is larger than the sum of its proper divisors (1).

493013 is an equidigital number, since it uses as much as digits as its factorization.

493013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 493013 is about 702.1488446191. The cubic root of 493013 is about 78.9986113092.

The spelling of 493013 in words is "four hundred ninety-three thousand, thirteen".