1275282352656 has 675 divisors, whose sum is σ = 4251709028061. Its totient is φ = 368815120128.

The previous prime is 1275282352651. The next prime is 1275282352657. The reversal of 1275282352656 is 6562532825721.

The square root of 1275282352656 is 1129284.

It is a perfect power (a square), and thus also a powerful number.

1275282352656 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 282 + 352 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 188651235600 + 1086631117056 = 434340^2 + 1042416^2 .

It is a super-3 number, since 3×1275282352656³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1275282352651) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10041593265 + ... + 10041593391.

Almost surely, 2^{1275282352656} is an apocalyptic number.

1275282352656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1275282352656 is the 1129284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1275282352656

1275282352656 is an abundant number, since it is smaller than the sum of its proper divisors (2976426675405).

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

1275282352656 is a wasteful number, since it uses less digits than its factorization.

1275282352656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 164 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 1275282352656 in words is "one trillion, two hundred seventy-five billion, two hundred eighty-two million, three hundred fifty-two thousand, six hundred fifty-six".