525138432 has 360 divisors, whose sum is σ = 1839141216. Its totient is φ = 130351104.

The previous prime is 525138407. The next prime is 525138437. The reversal of 525138432 is 234831525.

It is a junction number, because it is equal to n+sod(n) for n = 525138393 and 525138402.

It is not an unprimeable number, because it can be changed into a prime (525138437) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30890488 + ... + 30890504.

Almost surely, 2^525138432 is an apocalyptic number.

525138432 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 525138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919570608).

525138432 is an abundant number, since it is smaller than the sum of its proper divisors (1314002784).

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

525138432 is a wasteful number, since it uses less digits than its factorization.

525138432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 42 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 525138432 is about 22915.8991095702. The cubic root of 525138432 is about 806.7852215920.

Adding to 525138432 its reverse (234831525), we get a palindrome (759969957).

The spelling of 525138432 in words is "five hundred twenty-five million, one hundred thirty-eight thousand, four hundred thirty-two".