513364 has 6 divisors (see below), whose sum is σ = 898394. Its totient is φ = 256680.

The previous prime is 513353. The next prime is 513367. The reversal of 513364 is 463315.

It can be written as a sum of positive squares in only one way, i.e., 501264 + 12100 = 708^2 + 110^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513367) 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, 64167 + ... + 64174.

2⁵¹³³⁶⁴ is an apocalyptic number.

It is an amenable number.

513364 is a deficient number, since it is larger than the sum of its proper divisors (385030).

513364 is a wasteful number, since it uses less digits than its factorization.

513364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128345 (or 128343 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 513364 is about 716.4942428240. The cubic root of 513364 is about 80.0709786734.

Adding to 513364 its reverse (463315), we get a palindrome (976679).

The spelling of 513364 in words is "five hundred thirteen thousand, three hundred sixty-four".