1283379552 has 240 divisors, whose sum is σ = 4646248992. Its totient is φ = 338411520.

The previous prime is 1283379551. The next prime is 1283379593. The reversal of 1283379552 is 2559733821.

1283379552 is a `hidden beast` number, since 1 + 28 + 3 + 3 + 79 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1283379498 and 1283379507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283379551) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 233152 + ... + 238592.

Almost surely, 2^1283379552 is an apocalyptic number.

1283379552 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 1283379552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323124496).

1283379552 is an abundant number, since it is smaller than the sum of its proper divisors (3362869440).

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

1283379552 is a wasteful number, since it uses less digits than its factorization.

1283379552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5483 (or 5466 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 1283379552 is about 35824.2871806265. The cubic root of 1283379552 is about 1086.7217814059.

The spelling of 1283379552 in words is "one billion, two hundred eighty-three million, three hundred seventy-nine thousand, five hundred fifty-two".