1287516500 has 48 divisors (see below), whose sum is σ = 2822916096. Its totient is φ = 512996000.

The previous prime is 1287516497. The next prime is 1287516541. The reversal of 1287516500 is 56157821.

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, 126605 + ... + 136395.

It is an arithmetic number, because the mean of its divisors is an integer number (58810752).

Almost surely, 2^1287516500 is an apocalyptic number.

1287516500 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 1287516500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411458048).

1287516500 is an abundant number, since it is smaller than the sum of its proper divisors (1535399596).

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

1287516500 is a wasteful number, since it uses less digits than its factorization.

1287516500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10073 (or 10061 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 1287516500 is about 35881.9801571764. The cubic root of 1287516500 is about 1087.8882042083. Note that the first 3 decimals are identical.

The spelling of 1287516500 in words is "one billion, two hundred eighty-seven million, five hundred sixteen thousand, five hundred".