525512 has 32 divisors (see below), whose sum is σ = 1102080. Its totient is φ = 233280.

The previous prime is 525493. The next prime is 525517. The reversal of 525512 is 215525.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 5⁴ + 2⁶ + 5⁵ + 5⁸ + 1 + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (525517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3143 + ... + 3305.

It is an arithmetic number, because the mean of its divisors is an integer number (34440).

2⁵²⁵⁵¹² is an apocalyptic number.

525512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551040).

525512 is an abundant number, since it is smaller than the sum of its proper divisors (576568).

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

525512 is a wasteful number, since it uses less digits than its factorization.

525512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its digits is 500, while the sum is 20.

The square root of 525512 is about 724.9220647766. The cubic root of 525512 is about 80.6976483988.

The spelling of 525512 in words is "five hundred twenty-five thousand, five hundred twelve".