513036 has 18 divisors (see below), whose sum is σ = 1296932. Its totient is φ = 171000.

The previous prime is 513031. The next prime is 513041. The reversal of 513036 is 630315.

It is an interprime number because it is at equal distance from previous prime (513031) and next prime (513041).

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513036.

It is not an unprimeable number, because it can be changed into a prime (513031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7090 + ... + 7161.

2⁵¹³⁰³⁶ is an apocalyptic number.

It is an amenable number.

513036 is an abundant number, since it is smaller than the sum of its proper divisors (783896).

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

513036 is a wasteful number, since it uses less digits than its factorization.

513036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14261 (or 14256 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 513036 is about 716.2653139724. The cubic root of 513036 is about 80.0539219804.

It can be divided in two parts, 5 and 13036, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 513036 in words is "five hundred thirteen thousand, thirty-six".