1054512000 has 256 divisors, whose sum is σ = 3885710400. Its totient is φ = 281088000.

The previous prime is 1054511999. The next prime is 1054512031. The reversal of 1054512000 is 2154501.

1054512000 is a `hidden beast` number, since 1 + 0 + 545 + 120 + 0 + 0 = 666.

1054512000 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 2×1054512000² = 2223991116288000000, 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430780 + ... + 433220.

Almost surely, 2^1054512000 is an apocalyptic number.

1054512000 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 1054512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942855200).

1054512000 is an abundant number, since it is smaller than the sum of its proper divisors (2831198400).

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

1054512000 is an equidigital number, since it uses as much as digits as its factorization.

1054512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1054512000 is about 32473.2505302441. The cubic root of 1054512000 is about 1017.8501432047.

Adding to 1054512000 its reverse (2154501), we get a palindrome (1056666501).

The spelling of 1054512000 in words is "one billion, fifty-four million, five hundred twelve thousand".