1052821800 has 384 divisors, whose sum is σ = 3843504000. Its totient is φ = 267805440.

The previous prime is 1052821793. The next prime is 1052821871. The reversal of 1052821800 is 81282501.

It is a super-2 number, since 2×1052821800² = 2216867485110480000, which contains 22 as substring.

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

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, 12684559 + ... + 12684641.

It is an arithmetic number, because the mean of its divisors is an integer number (10009125).

Almost surely, 2^1052821800 is an apocalyptic number.

1052821800 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 1052821800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921752000).

1052821800 is an abundant number, since it is smaller than the sum of its proper divisors (2790682200).

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

1052821800 is an equidigital number, since it uses as much as digits as its factorization.

1052821800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1052821800 is about 32447.2155970277. The cubic root of 1052821800 is about 1017.3060399345.

The spelling of 1052821800 in words is "one billion, fifty-two million, eight hundred twenty-one thousand, eight hundred".