1280525600 has 72 divisors (see below), whose sum is σ = 3210646068. Its totient is φ = 498355200.

The previous prime is 1280525599. The next prime is 1280525639. The reversal of 1280525600 is 65250821.

It can be written as a sum of positive squares in 6 ways, for example, as 779303056 + 501222544 = 27916^2 + 22388^2 .

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 11 ways as a sum of consecutive naturals, for example, 7970 + ... + 51230.

Almost surely, 2^1280525600 is an apocalyptic number.

1280525600 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 1280525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605323034).

1280525600 is an abundant number, since it is smaller than the sum of its proper divisors (1930120468).

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

1280525600 is a wasteful number, since it uses less digits than its factorization.

1280525600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43318 (or 43305 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 1280525600 is about 35784.4323693977. The cubic root of 1280525600 is about 1085.9156406655.

The spelling of 1280525600 in words is "one billion, two hundred eighty million, five hundred twenty-five thousand, six hundred".