513390 has 32 divisors (see below), whose sum is σ = 1251360. Its totient is φ = 134784.

The previous prime is 513371. The next prime is 513397. The reversal of 513390 is 93315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513397) by changing a digit.

513390 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 3192 + ... + 3348.

It is an arithmetic number, because the mean of its divisors is an integer number (39105).

2⁵¹³³⁹⁰ is an apocalyptic number.

513390 is an abundant number, since it is smaller than the sum of its proper divisors (737970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513390 is a wasteful number, since it uses less digits than its factorization.

513390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 513390 is about 716.5123864945. The cubic root of 513390 is about 80.0723304175.

It can be divided in two parts, 513 and 390, that added together give a triangular number (903 = T₄₂).

The spelling of 513390 in words is "five hundred thirteen thousand, three hundred ninety".