525564 has 36 divisors (see below), whose sum is σ = 1431976. Its totient is φ = 161568.

The previous prime is 525541. The next prime is 525571. The reversal of 525564 is 465525.

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

It is a nialpdrome in base 14.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

525564 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, 94 + ... + 1029.

2⁵²⁵⁵⁶⁴ 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 525564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715988).

525564 is an abundant number, since it is smaller than the sum of its proper divisors (906412).

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

525564 is a wasteful number, since it uses less digits than its factorization.

525564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1141 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 525564 is about 724.9579298139. The cubic root of 525564 is about 80.7003100185.

It can be divided in two parts, 525 and 564, that added together give a square (1089 = 33²).

The spelling of 525564 in words is "five hundred twenty-five thousand, five hundred sixty-four".