526425120 has 288 divisors, whose sum is σ = 1970592624. Its totient is φ = 127180800.

The previous prime is 526425113. The next prime is 526425131. The reversal of 526425120 is 21524625.

526425120 is a `hidden beast` number, since 5 + 2 + 642 + 5 + 12 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8225424 + 518199696 = 2868^2 + 22764^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1141690 + ... + 1142150.

Almost surely, 2^526425120 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 526425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985296312).

526425120 is an abundant number, since it is smaller than the sum of its proper divisors (1444167504).

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

526425120 is a wasteful number, since it uses less digits than its factorization.

526425120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 526425120 is about 22943.9560669035. The cubic root of 526425120 is about 807.4436093751.

Adding to 526425120 its reverse (21524625), we get a palindrome (547949745).

The spelling of 526425120 in words is "five hundred twenty-six million, four hundred twenty-five thousand, one hundred twenty".