513007 has 8 divisors (see below), whose sum is σ = 565200. Its totient is φ = 461760.

The previous prime is 513001. The next prime is 513013. The reversal of 513007 is 700315.

It is an interprime number because it is at equal distance from previous prime (513001) and next prime (513013).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513007 - 2³ = 512999 is a prime.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 1483 + ... + 1795.

It is an arithmetic number, because the mean of its divisors is an integer number (70650).

2⁵¹³⁰⁰⁷ is an apocalyptic number.

513007 is a deficient number, since it is larger than the sum of its proper divisors (52193).

513007 is a wasteful number, since it uses less digits than its factorization.

513007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 513007 is about 716.2450697911. The cubic root of 513007 is about 80.0524135694.

The spelling of 513007 in words is "five hundred thirteen thousand, seven".