525525 has 72 divisors (see below), whose sum is σ = 1187424. Its totient is φ = 201600.

The previous prime is 525517. The next prime is 525529.

525525 = 77² + 78² + ... + 126².

525525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 525525 - 2³ = 525517 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 525495 and 525504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525529) 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 71 ways as a sum of consecutive naturals, for example, 40419 + ... + 40431.

It is an arithmetic number, because the mean of its divisors is an integer number (16492).

2⁵²⁵⁵²⁵ is an apocalyptic number.

525525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

525525 is an abundant number, since it is smaller than the sum of its proper divisors (661899).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

525525 is a wasteful number, since it uses less digits than its factorization.

525525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 39 counting only the distinct ones).

The product of its digits is 2500, while the sum is 24.

The square root of 525525 is about 724.9310312023. The cubic root of 525525 is about 80.6983138201.

The spelling of 525525 in words is "five hundred twenty-five thousand, five hundred twenty-five".