513005 has 16 divisors (see below), whose sum is σ = 656640. Its totient is φ = 384192.

The previous prime is 513001. The next prime is 513013. The reversal of 513005 is 500315.

513005 = T₂₅₄ + T₂₅₅ + ... + T₂₆₈.

It is a cyclic number.

It is not a de Polignac number, because 513005 - 2² = 513001 is a prime.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8666 + ... + 8724.

It is an arithmetic number, because the mean of its divisors is an integer number (41040).

2⁵¹³⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

513005 is a deficient number, since it is larger than the sum of its proper divisors (143635).

513005 is a wasteful number, since it uses less digits than its factorization.

513005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148.

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 513005 is about 716.2436736195. The cubic root of 513005 is about 80.0523095389.

It can be divided in two parts, 5 and 13005, that multiplied together give a square (65025 = 255²).

The spelling of 513005 in words is "five hundred thirteen thousand, five".