1283133852 has 432 divisors, whose sum is σ = 4579626240. Its totient is φ = 303937920.

The previous prime is 1283133847. The next prime is 1283133857. The reversal of 1283133852 is 2583313821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1283133847) and next prime (1283133857).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283133857) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15459403 + ... + 15459485.

Almost surely, 2^1283133852 is an apocalyptic number.

1283133852 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 1283133852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289813120).

1283133852 is an abundant number, since it is smaller than the sum of its proper divisors (3296492388).

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

1283133852 is a wasteful number, since it uses less digits than its factorization.

1283133852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1283133852 is about 35820.8577786741. The cubic root of 1283133852 is about 1086.6524268692.

The spelling of 1283133852 in words is "one billion, two hundred eighty-three million, one hundred thirty-three thousand, eight hundred fifty-two".