1296509056 has 32 divisors (see below), whose sum is σ = 2597863500. Its totient is φ = 644496384.

The previous prime is 1296509041. The next prime is 1296509083. The reversal of 1296509056 is 6509056921.

It can be written as a sum of positive squares in 2 ways, for example, as 1253160000 + 43349056 = 35400^2 + 6584^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1296509056² = 3361871464580022272, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 7131 + ... + 51418.

Almost surely, 2^1296509056 is an apocalyptic number.

1296509056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1296509056 is an abundant number, since it is smaller than the sum of its proper divisors (1301354444).

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

1296509056 is an equidigital number, since it uses as much as digits as its factorization.

1296509056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58736 (or 58724 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 43.

The square root of 1296509056 is about 36007.0695280802. The cubic root of 1296509056 is about 1090.4150864176.

The spelling of 1296509056 in words is "one billion, two hundred ninety-six million, five hundred nine thousand, fifty-six".