525120000 has 200 divisors, whose sum is σ = 1751326896. Its totient is φ = 139776000.

The previous prime is 525119993. The next prime is 525120017. The reversal of 525120000 is 21525.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959727 + ... + 960273.

Almost surely, 2^525120000 is an apocalyptic number.

525120000 is a gapful number since it is divisible by the number (50) 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 525120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875663448).

525120000 is an abundant number, since it is smaller than the sum of its proper divisors (1226206896).

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

525120000 is an frugal number, since it uses more digits than its factorization.

525120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 525120000 is about 22915.4969398440. The cubic root of 525120000 is about 806.7757822783.

Adding to 525120000 its reverse (21525), we get a palindrome (525141525).

The spelling of 525120000 in words is "five hundred twenty-five million, one hundred twenty thousand".