205513 has 16 divisors (see below), whose sum is σ = 273024. Its totient is φ = 149760.

The previous prime is 205507. The next prime is 205519. The reversal of 205513 is 315502.

It is an interprime number because it is at equal distance from previous prime (205507) and next prime (205519).

It is a cyclic number.

It is not a de Polignac number, because 205513 - 2¹⁷ = 74441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205519) 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, 1231 + ... + 1387.

It is an arithmetic number, because the mean of its divisors is an integer number (17064).

2²⁰⁵⁵¹³ is an apocalyptic number.

It is an amenable number.

205513 is a deficient number, since it is larger than the sum of its proper divisors (67511).

205513 is a wasteful number, since it uses less digits than its factorization.

205513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192.

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 205513 is about 453.3354166619. The cubic root of 205513 is about 59.0128287722.

The spelling of 205513 in words is "two hundred five thousand, five hundred thirteen".