52507 has 8 divisors (see below), whose sum is σ = 64736. Its totient is φ = 41472.

The previous prime is 52501. The next prime is 52511. The reversal of 52507 is 70525.

It is a happy number.

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

It is a 9-Lehmer number, since φ(52507) divides (52507-1)⁹.

It is a cyclic number.

It is not a de Polignac number, because 52507 - 2⁷ = 52379 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (52501) 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, 198 + ... + 379.

It is an arithmetic number, because the mean of its divisors is an integer number (8092).

2⁵²⁵⁰⁷ is an apocalyptic number.

52507 is a deficient number, since it is larger than the sum of its proper divisors (12229).

52507 is a wasteful number, since it uses less digits than its factorization.

52507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597.

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 52507 is about 229.1440594910. The cubic root of 52507 is about 37.4460260560.

The spelling of 52507 in words is "fifty-two thousand, five hundred seven".