525312000 has 448 divisors, whose sum is σ = 2044598400. Its totient is φ = 132710400.

The previous prime is 525311989. The next prime is 525312013. The reversal of 525312000 is 213525.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27647991 + ... + 27648009.

Almost surely, 2^525312000 is an apocalyptic number.

525312000 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 525312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022299200).

525312000 is an abundant number, since it is smaller than the sum of its proper divisors (1519286400).

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

525312000 is an equidigital number, since it uses as much as digits as its factorization.

525312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 525312000 is about 22919.6858617216. The cubic root of 525312000 is about 806.8740976318.

Adding to 525312000 its reverse (213525), we get a palindrome (525525525).

The spelling of 525312000 in words is "five hundred twenty-five million, three hundred twelve thousand".