1052208000 has 192 divisors, whose sum is σ = 3779259120. Its totient is φ = 280550400.

The previous prime is 1052207987. The next prime is 1052208007. The reversal of 1052208000 is 8022501.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1052208000² = 2214283350528000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052208007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140347 + ... + 147653.

Almost surely, 2^1052208000 is an apocalyptic number.

1052208000 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 1052208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889629560).

1052208000 is an abundant number, since it is smaller than the sum of its proper divisors (2727051120).

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

1052208000 is an equidigital number, since it uses as much as digits as its factorization.

1052208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7342 (or 7317 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1052208000 is about 32437.7557793384. The cubic root of 1052208000 is about 1017.1083034534.

The spelling of 1052208000 in words is "one billion, fifty-two million, two hundred eight thousand".