1289333052 has 120 divisors (see below), whose sum is σ = 3863946240. Its totient is φ = 367247520.

The previous prime is 1289332991. The next prime is 1289333107. The reversal of 1289333052 is 2503339821.

1289333052 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1289332998 and 1289333016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 976849 + ... + 978167.

It is an arithmetic number, because the mean of its divisors is an integer number (32199552).

Almost surely, 2^1289333052 is an apocalyptic number.

1289333052 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 1289333052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931973120).

1289333052 is an abundant number, since it is smaller than the sum of its proper divisors (2574613188).

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

1289333052 is a wasteful number, since it uses less digits than its factorization.

1289333052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1289333052 is about 35907.2841078241. The cubic root of 1289333052 is about 1088.3995961824.

The spelling of 1289333052 in words is "one billion, two hundred eighty-nine million, three hundred thirty-three thousand, fifty-two".