513085 has 8 divisors (see below), whose sum is σ = 623160. Its totient is φ = 405504.

The previous prime is 513083. The next prime is 513101. The reversal of 513085 is 580315.

513085 = 506² + 507².

It can be written as a sum of positive squares in 4 ways, for example, as 47961 + 465124 = 219^2 + 682^2 .

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

It is a 6-Lehmer number, since φ(513085) divides (513085-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 513085 - 2¹ = 513083 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513083) 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, 132 + ... + 1021.

It is an arithmetic number, because the mean of its divisors is an integer number (77895).

2⁵¹³⁰⁸⁵ is an apocalyptic number.

513085 is the 507-th centered square number.

It is an amenable number.

513085 is a deficient number, since it is larger than the sum of its proper divisors (110075).

513085 is a wasteful number, since it uses less digits than its factorization.

513085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 513085 is about 716.2995183581. The cubic root of 513085 is about 80.0564705458.

It can be divided in two parts, 51 and 3085, that added together give a square (3136 = 56²).

The spelling of 513085 in words is "five hundred thirteen thousand, eighty-five".