513807 has 16 divisors (see below), whose sum is σ = 802560. Its totient is φ = 286272.

The previous prime is 513781. The next prime is 513829. The reversal of 513807 is 708315.

It is not a de Polignac number, because 513807 - 2⁷ = 513679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513307) 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 15 ways as a sum of consecutive naturals, for example, 619 + ... + 1187.

It is an arithmetic number, because the mean of its divisors is an integer number (50160).

2⁵¹³⁸⁰⁷ is an apocalyptic number.

513807 is a deficient number, since it is larger than the sum of its proper divisors (288753).

513807 is a wasteful number, since it uses less digits than its factorization.

513807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 513807 is about 716.8033203048. The cubic root of 513807 is about 80.0940040805.

The spelling of 513807 in words is "five hundred thirteen thousand, eight hundred seven".