513207 has 12 divisors (see below), whose sum is σ = 748800. Its totient is φ = 338688.

The previous prime is 513203. The next prime is 513239. The reversal of 513207 is 702315.

It is not a de Polignac number, because 513207 - 2² = 513203 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 919 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (62400).

2⁵¹³²⁰⁷ is an apocalyptic number.

513207 is a deficient number, since it is larger than the sum of its proper divisors (235593).

513207 is a wasteful number, since it uses less digits than its factorization.

513207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 513207 is about 716.3846732029. The cubic root of 513207 is about 80.0628152485.

The spelling of 513207 in words is "five hundred thirteen thousand, two hundred seven".