1289313438 has 128 divisors (see below), whose sum is σ = 3262464000. Its totient is φ = 331195392.

The previous prime is 1289313413. The next prime is 1289313479. The reversal of 1289313438 is 8343139821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1289313438.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3652270 + ... + 3652622.

It is an arithmetic number, because the mean of its divisors is an integer number (25488000).

Almost surely, 2^1289313438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1289313438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631232000).

1289313438 is an abundant number, since it is smaller than the sum of its proper divisors (1973150562).

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

1289313438 is a wasteful number, since it uses less digits than its factorization.

1289313438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606.

The product of its digits is 124416, while the sum is 42.

The square root of 1289313438 is about 35907.0109867140. The cubic root of 1289313438 is about 1088.3940770556.

The spelling of 1289313438 in words is "one billion, two hundred eighty-nine million, three hundred thirteen thousand, four hundred thirty-eight".