525952 has 32 divisors (see below), whose sum is σ = 1199520. Its totient is φ = 225024.

The previous prime is 525949. The next prime is 525953. The reversal of 525952 is 259525.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 5² + 2¹² + 9 + 5³ + 5⁸ + 2¹⁷ .

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 525952.

It is not an unprimeable number, because it can be changed into a prime (525953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 603 + ... + 1189.

It is an arithmetic number, because the mean of its divisors is an integer number (37485).

2⁵²⁵⁹⁵² 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 525952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599760).

525952 is an abundant number, since it is smaller than the sum of its proper divisors (673568).

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

525952 is an equidigital number, since it uses as much as digits as its factorization.

525952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 596 counting only the distinct ones).

The product of its digits is 4500, while the sum is 28.

The square root of 525952 is about 725.2254821778. The cubic root of 525952 is about 80.7201642564.

The spelling of 525952 in words is "five hundred twenty-five thousand, nine hundred fifty-two".