525825 has 48 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 259200.

The previous prime is 525817. The next prime is 525839. The reversal of 525825 is 528525.

525825 = 36² + 37² + ... + 117².

525825 is nontrivially palindromic in base 2.

525825 is a nontrivial binomial coefficient, being equal to C(1026, 2).

It is not a de Polignac number, because 525825 - 2³ = 525817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 5 + 2 + 8⁴ + 5² + 2¹⁷ + 5⁸ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12805 + ... + 12845.

It is an arithmetic number, because the mean of its divisors is an integer number (21700).

2⁵²⁵⁸²⁵ is an apocalyptic number.

525825 is the 1025-th triangular number and also the 513-rd hexagonal number.

It is an amenable number.

525825 is a deficient number, since it is larger than the sum of its proper divisors (515775).

525825 is a wasteful number, since it uses less digits than its factorization.

525825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 68 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 525825 is about 725.1379179163. The cubic root of 525825 is about 80.7136666507.

The spelling of 525825 in words is "five hundred twenty-five thousand, eight hundred twenty-five".