1288254561 has 8 divisors (see below), whose sum is σ = 1873824864. Its totient is φ = 780760320.

The previous prime is 1288254523. The next prime is 1288254571. The reversal of 1288254561 is 1654528821.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1288254561 - 2⁶ = 1288254497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1288254521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19518976 + ... + 19519041.

It is an arithmetic number, because the mean of its divisors is an integer number (234228108).

Almost surely, 2^1288254561 is an apocalyptic number.

1288254561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1288254561 is a deficient number, since it is larger than the sum of its proper divisors (585570303).

1288254561 is a wasteful number, since it uses less digits than its factorization.

1288254561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39038031.

The product of its digits is 153600, while the sum is 42.

The square root of 1288254561 is about 35892.2632471122. The cubic root of 1288254561 is about 1088.0960395979.

It can be divided in two parts, 1288254 and 561, that added together give a triangular number (1288815 = T₁₆₀₅).

The spelling of 1288254561 in words is "one billion, two hundred eighty-eight million, two hundred fifty-four thousand, five hundred sixty-one".