513893 has 16 divisors (see below), whose sum is σ = 601920. Its totient is φ = 435456.

The previous prime is 513881. The next prime is 513899. The reversal of 513893 is 398315.

It is a cyclic number.

It is not a de Polignac number, because 513893 - 2⁶ = 513829 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513899) 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 in 15 ways as a sum of consecutive naturals, for example, 11930 + ... + 11972.

It is an arithmetic number, because the mean of its divisors is an integer number (37620).

2⁵¹³⁸⁹³ is an apocalyptic number.

It is an amenable number.

513893 is a deficient number, since it is larger than the sum of its proper divisors (88027).

513893 is a wasteful number, since it uses less digits than its factorization.

513893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116.

The product of its digits is 3240, while the sum is 29.

The square root of 513893 is about 716.8633063562. The cubic root of 513893 is about 80.0984724899.

The spelling of 513893 in words is "five hundred thirteen thousand, eight hundred ninety-three".