513189 has 16 divisors (see below), whose sum is σ = 772800. Its totient is φ = 336528.

The previous prime is 513173. The next prime is 513203. The reversal of 513189 is 981315.

It is not a de Polignac number, because 513189 - 2⁴ = 513173 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513109) 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 in 15 ways as a sum of consecutive naturals, for example, 2127 + ... + 2355.

It is an arithmetic number, because the mean of its divisors is an integer number (48300).

2⁵¹³¹⁸⁹ is an apocalyptic number.

It is an amenable number.

513189 is a deficient number, since it is larger than the sum of its proper divisors (259611).

513189 is a wasteful number, since it uses less digits than its factorization.

513189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 513189 is about 716.3721100099. The cubic root of 513189 is about 80.0618792080.

It can be divided in two parts, 51 and 3189, that added together give a triangular number (3240 = T₈₀).

The spelling of 513189 in words is "five hundred thirteen thousand, one hundred eighty-nine".