1051544000 has 112 divisors (see below), whose sum is σ = 2804745216. Its totient is φ = 388224000.

The previous prime is 1051543981. The next prime is 1051544017. The reversal of 1051544000 is 4451501.

1051544000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1051544000² = 2211489567872000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98945 + ... + 109055.

It is an arithmetic number, because the mean of its divisors is an integer number (25042368).

Almost surely, 2^1051544000 is an apocalyptic number.

1051544000 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 1051544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402372608).

1051544000 is an abundant number, since it is smaller than the sum of its proper divisors (1753201216).

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

1051544000 is a wasteful number, since it uses less digits than its factorization.

1051544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10151 (or 10131 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1051544000 is about 32427.5191773901. The cubic root of 1051544000 is about 1016.8943083668.

Adding to 1051544000 its reverse (4451501), we get a palindrome (1055995501).

The spelling of 1051544000 in words is "one billion, fifty-one million, five hundred forty-four thousand".