513006 has 16 divisors (see below), whose sum is σ = 1105104. Its totient is φ = 157824.

The previous prime is 513001. The next prime is 513013. The reversal of 513006 is 600315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513001) by changing a digit.

513006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3211 + ... + 3366.

It is an arithmetic number, because the mean of its divisors is an integer number (69069).

2⁵¹³⁰⁰⁶ is an apocalyptic number.

513006 is an abundant number, since it is smaller than the sum of its proper divisors (592098).

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

513006 is a wasteful number, since it uses less digits than its factorization.

513006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6595.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 513006 is about 716.2443717056. The cubic root of 513006 is about 80.0523615542.

The spelling of 513006 in words is "five hundred thirteen thousand, six".