1051040000 has 90 divisors (see below), whose sum is σ = 2622027870. Its totient is φ = 420352000.

The previous prime is 1051039999. The next prime is 1051040017. The reversal of 1051040000 is 401501.

It can be written as a sum of positive squares in 5 ways, for example, as 194658304 + 856381696 = 13952^2 + 29264^2 .

It is a super-2 number, since 2×1051040000² = 2209370163200000000, 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 9 ways as a sum of consecutive naturals, for example, 156716 + ... + 163284.

It is an arithmetic number, because the mean of its divisors is an integer number (29133643).

Almost surely, 2^1051040000 is an apocalyptic number.

1051040000 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 1051040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311013935).

1051040000 is an abundant number, since it is smaller than the sum of its proper divisors (1570987870).

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

1051040000 is an frugal number, since it uses more digits than its factorization.

1051040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6605 (or 6576 counting only the distinct ones).

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

The square root of 1051040000 is about 32419.7470687234. The cubic root of 1051040000 is about 1016.7318182142.

Adding to 1051040000 its reverse (401501), we get a palindrome (1051441501).

The spelling of 1051040000 in words is "one billion, fifty-one million, forty thousand".