513506 has 16 divisors (see below), whose sum is σ = 901824. Its totient is φ = 214704.

The previous prime is 513481. The next prime is 513509. The reversal of 513506 is 605315.

It is not an unprimeable number, because it can be changed into a prime (513509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176 + ... + 1028.

It is an arithmetic number, because the mean of its divisors is an integer number (56364).

2⁵¹³⁵⁰⁶ is an apocalyptic number.

513506 is a deficient number, since it is larger than the sum of its proper divisors (388318).

513506 is a wasteful number, since it uses less digits than its factorization.

513506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 513506 is about 716.5933295810. The cubic root of 513506 is about 80.0783607199.

Subtracting 513506 from its reverse (605315), we obtain a square (91809 = 303²).

The spelling of 513506 in words is "five hundred thirteen thousand, five hundred six".