1283308752 has 80 divisors (see below), whose sum is σ = 3634053120. Its totient is φ = 387004800.

The previous prime is 1283308751. The next prime is 1283308771. The reversal of 1283308752 is 2578033821.

It is a self number, because there is not a number n which added to its sum of digits gives 1283308752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283308751) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 105649 + ... + 117167.

It is an arithmetic number, because the mean of its divisors is an integer number (45425664).

Almost surely, 2^1283308752 is an apocalyptic number.

1283308752 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 1283308752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817026560).

1283308752 is an abundant number, since it is smaller than the sum of its proper divisors (2350744368).

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

1283308752 is a wasteful number, since it uses less digits than its factorization.

1283308752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11752 (or 11746 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 1283308752 is about 35823.2990105602. The cubic root of 1283308752 is about 1086.7017973679.

The spelling of 1283308752 in words is "one billion, two hundred eighty-three million, three hundred eight thousand, seven hundred fifty-two".