1282561280 has 486 divisors, whose sum is σ = 4253532318. Its totient is φ = 369008640.

The previous prime is 1282561261. The next prime is 1282561283. The reversal of 1282561280 is 821652821.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6071296 + 1276489984 = 2464^2 + 35728^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1282561280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282561283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 98658554 + ... + 98658566.

Almost surely, 2^1282561280 is an apocalyptic number.

1282561280 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 1282561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126766159).

1282561280 is an abundant number, since it is smaller than the sum of its proper divisors (2970971038).

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

1282561280 is a wasteful number, since it uses less digits than its factorization.

1282561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 1282561280 is about 35812.8647276366. The cubic root of 1282561280 is about 1086.4907707485.

The spelling of 1282561280 in words is "one billion, two hundred eighty-two million, five hundred sixty-one thousand, two hundred eighty".