1282875552 has 144 divisors (see below), whose sum is σ = 4313312640. Its totient is φ = 353880576.

The previous prime is 1282875551. The next prime is 1282875557. The reversal of 1282875552 is 2555782821.

1282875552 is a `hidden beast` number, since 1 + 2 + 8 + 28 + 75 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1282875552³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1282875498 and 1282875507.

It is not an unprimeable number, because it can be changed into a prime (1282875551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47493 + ... + 69435.

It is an arithmetic number, because the mean of its divisors is an integer number (29953560).

Almost surely, 2^1282875552 is an apocalyptic number.

1282875552 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 1282875552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156656320).

1282875552 is an abundant number, since it is smaller than the sum of its proper divisors (3030437088).

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

1282875552 is a wasteful number, since it uses less digits than its factorization.

1282875552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21995 (or 21984 counting only the distinct ones).

The product of its digits is 448000, while the sum is 45.

The square root of 1282875552 is about 35817.2521559094. The cubic root of 1282875552 is about 1086.5795061426.

The spelling of 1282875552 in words is "one billion, two hundred eighty-two million, eight hundred seventy-five thousand, five hundred fifty-two".