1051240000 has 140 divisors (see below), whose sum is σ = 2674478268. Its totient is φ = 409600000.

The previous prime is 1051239997. The next prime is 1051240019. The reversal of 1051240000 is 421501.

It can be written as a sum of positive squares in 10 ways, for example, as 849372736 + 201867264 = 29144^2 + 14208^2 .

It is a super-2 number, since 2×1051240000² = 2210211075200000000, 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 19 ways as a sum of consecutive naturals, for example, 1639680 + ... + 1640320.

Almost surely, 2^1051240000 is an apocalyptic number.

1051240000 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 1051240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337239134).

1051240000 is an abundant number, since it is smaller than the sum of its proper divisors (1623238268).

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

1051240000 is an frugal number, since it uses more digits than its factorization.

1051240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1051240000 is about 32422.8314617956. The cubic root of 1051240000 is about 1016.7963046489.

Adding to 1051240000 its reverse (421501), we get a palindrome (1051661501).

The spelling of 1051240000 in words is "one billion, fifty-one million, two hundred forty thousand".