525052800 has 384 divisors, whose sum is σ = 1973088000. Its totient is φ = 136304640.

The previous prime is 525052757. The next prime is 525052807. The reversal of 525052800 is 8250525.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525052807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5097549 + ... + 5097651.

It is an arithmetic number, because the mean of its divisors is an integer number (5138250).

Almost surely, 2^525052800 is an apocalyptic number.

525052800 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 525052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986544000).

525052800 is an abundant number, since it is smaller than the sum of its proper divisors (1448035200).

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

525052800 is a wasteful number, since it uses less digits than its factorization.

525052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 525052800 is about 22914.0306362717. The cubic root of 525052800 is about 806.7413662430.

The spelling of 525052800 in words is "five hundred twenty-five million, fifty-two thousand, eight hundred".