1283282520 has 128 divisors (see below), whose sum is σ = 4159995840. Its totient is φ = 314818560.

The previous prime is 1283282503. The next prime is 1283282521. The reversal of 1283282520 is 252823821.

It is a super-2 number, since 2×1283282520² = 3293628052275100800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283282521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524500 + ... + 526940.

Almost surely, 2^1283282520 is an apocalyptic number.

1283282520 is a gapful number since it is divisible by the number (10) 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 1283282520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079997920).

1283282520 is an abundant number, since it is smaller than the sum of its proper divisors (2876713320).

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

1283282520 is a wasteful number, since it uses less digits than its factorization.

1283282520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1283282520 is about 35822.9328782555. The cubic root of 1283282520 is about 1086.6943929259.

The spelling of 1283282520 in words is "one billion, two hundred eighty-three million, two hundred eighty-two thousand, five hundred twenty".