526125 has 32 divisors (see below), whose sum is σ = 928512. Its totient is φ = 264000.

The previous prime is 526121. The next prime is 526139. The reversal of 526125 is 521625.

526125 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 526125 - 2² = 526121 is a prime.

526125 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8595 + ... + 8655.

It is an arithmetic number, because the mean of its divisors is an integer number (29016).

2⁵²⁶¹²⁵ is an apocalyptic number.

It is an amenable number.

526125 is a deficient number, since it is larger than the sum of its proper divisors (402387).

526125 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 526125 = (155622)₁₃.

526125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 526125 is about 725.3447456210. The cubic root of 526125 is about 80.7290136429.

Subtracting from 526125 its product of digits (600), we obtain a palindrome (525525).

The spelling of 526125 in words is "five hundred twenty-six thousand, one hundred twenty-five".