1288531005 has 16 divisors (see below), whose sum is σ = 2063565504. Its totient is φ = 686577920.

The previous prime is 1288530967. The next prime is 1288531019. The reversal of 1288531005 is 5001358821.

It is a happy number.

It is not a de Polignac number, because 1288531005 - 2¹⁰ = 1288529981 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23004 + ... + 55733.

It is an arithmetic number, because the mean of its divisors is an integer number (128972844).

Almost surely, 2^1288531005 is an apocalyptic number.

1288531005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1288531005 is a deficient number, since it is larger than the sum of its proper divisors (775034499).

1288531005 is a wasteful number, since it uses less digits than its factorization.

1288531005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79836.

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 1288531005 is about 35896.1140654528. The cubic root of 1288531005 is about 1088.1738648242.

Adding to 1288531005 its reverse (5001358821), we get a palindrome (6289889826).

The spelling of 1288531005 in words is "one billion, two hundred eighty-eight million, five hundred thirty-one thousand, five".