1051004000 has 96 divisors (see below), whose sum is σ = 2718424800. Its totient is φ = 398246400.

The previous prime is 1051003999. The next prime is 1051004011. The reversal of 1051004000 is 4001501.

It is a super-2 number, since 2×1051004000² = 2209218816032000000, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 69086 + ... + 82914.

It is an arithmetic number, because the mean of its divisors is an integer number (28316925).

Almost surely, 2^1051004000 is an apocalyptic number.

1051004000 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 1051004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359212400).

1051004000 is an abundant number, since it is smaller than the sum of its proper divisors (1667420800).

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

1051004000 is a wasteful number, since it uses less digits than its factorization.

1051004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13873 (or 13855 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1051004000 is about 32419.1918468058. The cubic root of 1051004000 is about 1016.7202097872.

Adding to 1051004000 its reverse (4001501), we get a palindrome (1055005501).

The spelling of 1051004000 in words is "one billion, fifty-one million, four thousand".