1288881825 has 96 divisors (see below), whose sum is σ = 2707540992. Its totient is φ = 525408000.

The previous prime is 1288881821. The next prime is 1288881859. The reversal of 1288881825 is 5281888821.

It is not a de Polignac number, because 1288881825 - 2² = 1288881821 is a prime.

It is a super-3 number, since 3×1288881825³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1288881821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 303970 + ... + 308180.

It is an arithmetic number, because the mean of its divisors is an integer number (28203552).

Almost surely, 2^1288881825 is an apocalyptic number.

1288881825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1288881825 is an abundant number, since it is smaller than the sum of its proper divisors (1418659167).

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

1288881825 is a wasteful number, since it uses less digits than its factorization.

1288881825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4290 counting only the distinct ones).

The product of its digits is 655360, while the sum is 51.

The square root of 1288881825 is about 35901.0003342525. Note that the first 3 decimals coincide. The cubic root of 1288881825 is about 1088.2726125489.

The spelling of 1288881825 in words is "one billion, two hundred eighty-eight million, eight hundred eighty-one thousand, eight hundred twenty-five".