35513 has 4 divisors (see below), whose sum is σ = 37620. Its totient is φ = 33408.

The previous prime is 35509. The next prime is 35521. The reversal of 35513 is 31553.

35513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31553 = 139 ⋅227.

It can be written as a sum of positive squares in 2 ways, for example, as 29584 + 5929 = 172^2 + 77^2 .

It is a cyclic number.

It is not a de Polignac number, because 35513 - 2² = 35509 is a prime.

It is a super-2 number, since 2×35513² = 2522346338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 2089 = 35513 / (3 + 5 + 5 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35491 and 35500.

It is not an unprimeable number, because it can be changed into a prime (35533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1028 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (9405).

2³⁵⁵¹³ is an apocalyptic number.

It is an amenable number.

35513 is a deficient number, since it is larger than the sum of its proper divisors (2107).

35513 is a wasteful number, since it uses less digits than its factorization.

35513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106.

The product of its digits is 225, while the sum is 17.

The square root of 35513 is about 188.4489320744. The cubic root of 35513 is about 32.8697035423.

It can be divided in two parts, 35 and 513, that multiplied together give a triangular number (17955 = T₁₈₉).

The spelling of 35513 in words is "thirty-five thousand, five hundred thirteen".