525131120 has 80 divisors (see below), whose sum is σ = 1293265440. Its totient is φ = 197747712.

The previous prime is 525131119. The next prime is 525131129. The reversal of 525131120 is 21131525.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 525131092 and 525131101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525131129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261962 + ... + 263958.

It is an arithmetic number, because the mean of its divisors is an integer number (16165818).

Almost surely, 2^525131120 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 525131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646632720).

525131120 is an abundant number, since it is smaller than the sum of its proper divisors (768134320).

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

525131120 is a wasteful number, since it uses less digits than its factorization.

525131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 525131120 is about 22915.7395691258. The cubic root of 525131120 is about 806.7814770296.

Adding to 525131120 its reverse (21131525), we get a palindrome (546262645).

The spelling of 525131120 in words is "five hundred twenty-five million, one hundred thirty-one thousand, one hundred twenty".