1052544000 has 176 divisors, whose sum is σ = 3502433376. Its totient is φ = 280576000.

The previous prime is 1052543971. The next prime is 1052544029. The reversal of 1052544000 is 4452501.

It is an interprime number because it is at equal distance from previous prime (1052543971) and next prime (1052544029).

It is a super-2 number, since 2×1052544000² = 2215697743872000000, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 382630 + ... + 385370.

Almost surely, 2^1052544000 is an apocalyptic number.

1052544000 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 1052544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751216688).

1052544000 is an abundant number, since it is smaller than the sum of its proper divisors (2449889376).

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

1052544000 is an equidigital number, since it uses as much as digits as its factorization.

1052544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 1052544000 is about 32442.9345158541. The cubic root of 1052544000 is about 1017.2165558204.

Adding to 1052544000 its reverse (4452501), we get a palindrome (1056996501).

The spelling of 1052544000 in words is "one billion, fifty-two million, five hundred forty-four thousand".