525084000 has 576 divisors, whose sum is σ = 2151152640. Its totient is φ = 111283200.

The previous prime is 525083969. The next prime is 525084041. The reversal of 525084000 is 480525.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11171977 + ... + 11172023.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^525084000 is an apocalyptic number.

525084000 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 525084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075576320).

525084000 is an abundant number, since it is smaller than the sum of its proper divisors (1626068640).

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

525084000 is a wasteful number, since it uses less digits than its factorization.

525084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 525084000 is about 22914.7114317418. The cubic root of 525084000 is about 806.7573454817.

It can be divided in two parts, 5250 and 84000, that multiplied together give a square (441000000 = 21000²).

The spelling of 525084000 in words is "five hundred twenty-five million, eighty-four thousand".