52535 has 16 divisors (see below), whose sum is σ = 76800. Its totient is φ = 33696.

The previous prime is 52529. The next prime is 52541. The reversal of 52535 is 53525.

52535 = T₁₁₉ + T₁₂₀ + ... + T₁₂₅.

It is an interprime number because it is at equal distance from previous prime (52529) and next prime (52541).

It is a cyclic number.

It is not a de Polignac number, because 52535 - 2¹⁰ = 51511 is a prime.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626 + ... + 704.

It is an arithmetic number, because the mean of its divisors is an integer number (4800).

2⁵²⁵³⁵ is an apocalyptic number.

52535 is a deficient number, since it is larger than the sum of its proper divisors (24265).

52535 is a wasteful number, since it uses less digits than its factorization.

52535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110.

The product of its digits is 750, while the sum is 20.

The square root of 52535 is about 229.2051482842. The cubic root of 52535 is about 37.4526810570.

Subtracting 52535 from its reverse (53525), we obtain a triangular number (990 = T₄₄).

The spelling of 52535 in words is "fifty-two thousand, five hundred thirty-five".