1288800005 has 16 divisors (see below), whose sum is σ = 1641487680. Its totient is φ = 968047872.

The previous prime is 1288799989. The next prime is 1288800031. The reversal of 1288800005 is 5000088821.

It is a cyclic number.

It is not a de Polignac number, because 1288800005 - 2⁴ = 1288799989 is a prime.

It is a super-2 number, since 2×1288800005² = 3322010905776000050, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 17522 + ... + 53708.

It is an arithmetic number, because the mean of its divisors is an integer number (102592980).

Almost surely, 2^1288800005 is an apocalyptic number.

It is an amenable number.

1288800005 is a deficient number, since it is larger than the sum of its proper divisors (352687675).

1288800005 is a wasteful number, since it uses less digits than its factorization.

1288800005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36628.

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 1288800005 is about 35899.8607936020. The cubic root of 1288800005 is about 1088.2495837116.

Adding to 1288800005 its reverse (5000088821), we get a palindrome (6288888826).

The spelling of 1288800005 in words is "one billion, two hundred eighty-eight million, eight hundred thousand, five".