52513 has 4 divisors (see below), whose sum is σ = 55620. Its totient is φ = 49408.

The previous prime is 52511. The next prime is 52517. The reversal of 52513 is 31525.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 44944 + 7569 = 212^2 + 87^2 .

It is a cyclic number.

It is not a de Polignac number, because 52513 - 2¹ = 52511 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1528 + ... + 1561.

It is an arithmetic number, because the mean of its divisors is an integer number (13905).

2⁵²⁵¹³ is an apocalyptic number.

It is an amenable number.

52513 is a deficient number, since it is larger than the sum of its proper divisors (3107).

52513 is a wasteful number, since it uses less digits than its factorization.

52513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106.

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

The square root of 52513 is about 229.1571513176. The cubic root of 52513 is about 37.4474523268.

It can be divided in two parts, 5251 and 3, that multiplied together give a triangular number (15753 = T₁₇₇).

The spelling of 52513 in words is "fifty-two thousand, five hundred thirteen".