1289605152 has 96 divisors (see below), whose sum is σ = 3743772480. Its totient is φ = 385413120.

The previous prime is 1289605151. The next prime is 1289605153. The reversal of 1289605152 is 2515069821.

It is an interprime number because it is at equal distance from previous prime (1289605151) and next prime (1289605153).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1289605152.

It is not an unprimeable number, because it can be changed into a prime (1289605151) 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 15 ways as a sum of consecutive naturals, for example, 68724 + ... + 85452.

It is an arithmetic number, because the mean of its divisors is an integer number (38997630).

Almost surely, 2^1289605152 is an apocalyptic number.

1289605152 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 1289605152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871886240).

1289605152 is an abundant number, since it is smaller than the sum of its proper divisors (2454167328).

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

1289605152 is a wasteful number, since it uses less digits than its factorization.

1289605152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16826 (or 16818 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 1289605152 is about 35911.0728327629. The cubic root of 1289605152 is about 1088.4761558422.

The spelling of 1289605152 in words is "one billion, two hundred eighty-nine million, six hundred five thousand, one hundred fifty-two".