1287915552 has 384 divisors, whose sum is σ = 4760985600. Its totient is φ = 333123840.

The previous prime is 1287915547. The next prime is 1287915569. The reversal of 1287915552 is 2555197821.

1287915552 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 91 + 5 + 552 = 666.

Its product of digits (252000) is a multiple of the sum of its prime factors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1287915498 and 1287915507.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5388649 + ... + 5388887.

It is an arithmetic number, because the mean of its divisors is an integer number (12398400).

Almost surely, 2^1287915552 is an apocalyptic number.

1287915552 is a gapful number since it is divisible by the number (12) 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 1287915552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380492800).

1287915552 is an abundant number, since it is smaller than the sum of its proper divisors (3473070048).

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

1287915552 is an equidigital number, since it uses as much as digits as its factorization.

1287915552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 262 counting only the distinct ones).

The product of its digits is 252000, while the sum is 45.

The square root of 1287915552 is about 35887.5403448049. The cubic root of 1287915552 is about 1088.0005857119. Note that the first 3 decimals are identical.

The spelling of 1287915552 in words is "one billion, two hundred eighty-seven million, nine hundred fifteen thousand, five hundred fifty-two".