1287525120 has 288 divisors, whose sum is σ = 4948769280. Its totient is φ = 278691840.

The previous prime is 1287525089. The next prime is 1287525121. The reversal of 1287525120 is 215257821.

It is not an unprimeable number, because it can be changed into a prime (1287525121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509460 + ... + 511980.

Almost surely, 2^1287525120 is an apocalyptic number.

1287525120 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 1287525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474384640).

1287525120 is an abundant number, since it is smaller than the sum of its proper divisors (3661244160).

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

1287525120 is a wasteful number, since it uses less digits than its factorization.

1287525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 1287525120 is about 35882.1002729773. The cubic root of 1287525120 is about 1087.8906320284.

The spelling of 1287525120 in words is "one billion, two hundred eighty-seven million, five hundred twenty-five thousand, one hundred twenty".