525852 has 36 divisors (see below), whose sum is σ = 1381016. Its totient is φ = 174960.

The previous prime is 525839. The next prime is 525869. The reversal of 525852 is 258525.

It is a tau number, because it is divible by the number of its divisors (36).

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

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

It is a congruent number.

It is an unprimeable number.

525852 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 702 + ... + 1242.

2⁵²⁵⁸⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690508).

525852 is an abundant number, since it is smaller than the sum of its proper divisors (855164).

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

525852 is a wasteful number, since it uses less digits than its factorization.

525852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 546 counting only the distinct ones).

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

The square root of 525852 is about 725.1565348254. The cubic root of 525852 is about 80.7150481190.

Subtracting from 525852 its sum of digits (27), we obtain a triangular number (525825 = T₁₀₂₅).

The spelling of 525852 in words is "five hundred twenty-five thousand, eight hundred fifty-two".