1256000000 has 140 divisors (see below), whose sum is σ = 3156873654. Its totient is φ = 499200000.

The previous prime is 1255999993. The next prime is 1256000003. The reversal of 1256000000 is 6521.

It can be written as a sum of positive squares in 7 ways, for example, as 801116416 + 454883584 = 28304^2 + 21328^2 .

It is not an unprimeable number, because it can be changed into a prime (1256000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7999922 + ... + 8000078.

Almost surely, 2^1256000000 is an apocalyptic number.

1256000000 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 1256000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578436827).

1256000000 is an abundant number, since it is smaller than the sum of its proper divisors (1900873654).

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

1256000000 is an frugal number, since it uses more digits than its factorization.

1256000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1256000000 is about 35440.0902933387. The cubic root of 1256000000 is about 1078.9381424219.

Adding to 1256000000 its reverse (6521), we get a palindrome (1256006521).

The spelling of 1256000000 in words is "one billion, two hundred fifty-six million", and thus it is an aban number.