513387 has 24 divisors (see below), whose sum is σ = 879840. Its totient is φ = 282240.

The previous prime is 513371. The next prime is 513397. The reversal of 513387 is 783315.

It is not a de Polignac number, because 513387 - 2⁴ = 513371 is a prime.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 513387.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513307) 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 23 ways as a sum of consecutive naturals, for example, 1687 + ... + 1967.

It is an arithmetic number, because the mean of its divisors is an integer number (36660).

2⁵¹³³⁸⁷ is an apocalyptic number.

513387 is a deficient number, since it is larger than the sum of its proper divisors (366453).

513387 is a wasteful number, since it uses less digits than its factorization.

513387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 320 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 513387 is about 716.5102930175. The cubic root of 513387 is about 80.0721744494.

It can be divided in two parts, 513 and 387, that added together give a square (900 = 30²).

The spelling of 513387 in words is "five hundred thirteen thousand, three hundred eighty-seven".