525096 has 128 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 138240.

The previous prime is 525043. The next prime is 525101. The reversal of 525096 is 690525.

525096 = T₂₄₀ + T₂₄₁ + ... + T₂₅₆.

525096 = 31³ + 32³ + ... + 41³.

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 zygodrome in base 3.

It is an unprimeable number.

525096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 31 ways as a sum of consecutive naturals, for example, 30880 + ... + 30896.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2⁵²⁵⁰⁹⁶ 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 525096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

525096 is an abundant number, since it is smaller than the sum of its proper divisors (1289304).

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

525096 is a wasteful number, since it uses less digits than its factorization.

525096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 525096 is about 724.6350805750. The cubic root of 525096 is about 80.6763491174.

The spelling of 525096 in words is "five hundred twenty-five thousand, ninety-six".