1283321268 has 18 divisors (see below), whose sum is σ = 3243951074. Its totient is φ = 427773744.

The previous prime is 1283321261. The next prime is 1283321287. The reversal of 1283321268 is 8621233821.

It can be written as a sum of positive squares in only one way, i.e., 1010476944 + 272844324 = 31788^2 + 16518^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1283321268² = 3293826953802255648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 35647813 = 1283321268 / (1 + 2 + 8 + 3 + 3 + 2 + 1 + 2 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283321261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17823871 + ... + 17823942.

Almost surely, 2^1283321268 is an apocalyptic number.

1283321268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1283321268 is an abundant number, since it is smaller than the sum of its proper divisors (1960629806).

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

1283321268 is a wasteful number, since it uses less digits than its factorization.

1283321268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35647823 (or 35647818 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1283321268 is about 35823.4737009129. The cubic root of 1283321268 is about 1086.7053301929.

It can be divided in two parts, 128332 and 1268, that added together give a square (129600 = 360²).

The spelling of 1283321268 in words is "one billion, two hundred eighty-three million, three hundred twenty-one thousand, two hundred sixty-eight".