526525 has 6 divisors (see below), whose sum is σ = 652922. Its totient is φ = 421200.

The previous prime is 526511. The next prime is 526531. The reversal of 526525 is 525625.

526525 = T₇₉ + T₈₀ + ... + T₁₅₃.

It can be written as a sum of positive squares in 3 ways, for example, as 168921 + 357604 = 411^2 + 598^2 .

It is not a de Polignac number, because 526525 - 2⁷ = 526397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 21061 = 526525 / (5 + 2 + 6 + 5 + 2 + 5).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 526525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10506 + ... + 10555.

2⁵²⁶⁵²⁵ is an apocalyptic number.

It is an amenable number.

526525 is a deficient number, since it is larger than the sum of its proper divisors (126397).

526525 is a wasteful number, since it uses less digits than its factorization.

526525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21071 (or 21066 counting only the distinct ones).

The product of its digits is 3000, while the sum is 25.

The square root of 526525 is about 725.6204241888. The cubic root of 526525 is about 80.7494672268.

Subtracting from 526525 its reverse (525625), we obtain a square (900 = 30²).

The spelling of 526525 in words is "five hundred twenty-six thousand, five hundred twenty-five".