1271825280 has 256 divisors, whose sum is σ = 4914604800. Its totient is φ = 308275200.

The previous prime is 1271825257. The next prime is 1271825281. The reversal of 1271825280 is 825281721.

1271825280 is a `hidden beast` number, since 127 + 1 + 8 + 2 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271825281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186735 + ... + 193425.

It is an arithmetic number, because the mean of its divisors is an integer number (19197675).

Almost surely, 2^1271825280 is an apocalyptic number.

1271825280 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 1271825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457302400).

1271825280 is an abundant number, since it is smaller than the sum of its proper divisors (3642779520).

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

1271825280 is a wasteful number, since it uses less digits than its factorization.

1271825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6730 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1271825280 is about 35662.6594633659. The cubic root of 1271825280 is about 1083.4506914018.

The spelling of 1271825280 in words is "one billion, two hundred seventy-one million, eight hundred twenty-five thousand, two hundred eighty".