1050825600 has 576 divisors, whose sum is σ = 4261870080. Its totient is φ = 244224000.

The previous prime is 1050825593. The next prime is 1050825667. The reversal of 1050825600 is 65280501.

1050825600 is a `hidden beast` number, since 1 + 0 + 50 + 8 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1050825600² = 2208468883230720000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 9820747 + ... + 9820853.

It is an arithmetic number, because the mean of its divisors is an integer number (7399080).

Almost surely, 2^1050825600 is an apocalyptic number.

1050825600 is a gapful number since it is divisible by the number (10) 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 1050825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130935040).

1050825600 is an abundant number, since it is smaller than the sum of its proper divisors (3211044480).

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

1050825600 is a wasteful number, since it uses less digits than its factorization.

1050825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1050825600 is about 32416.4402734168. The cubic root of 1050825600 is about 1016.6626796702.

The spelling of 1050825600 in words is "one billion, fifty million, eight hundred twenty-five thousand, six hundred".