1275252800 has 42 divisors (see below), whose sum is σ = 3137922858. Its totient is φ = 510100480.

The previous prime is 1275252793. The next prime is 1275252809. The reversal of 1275252800 is 82525721.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 409010176 + 866242624 = 20224^2 + 29432^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1275252809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 396917 + ... + 400116.

It is an arithmetic number, because the mean of its divisors is an integer number (74712449).

Almost surely, 2^1275252800 is an apocalyptic number.

1275252800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1275252800 is an abundant number, since it is smaller than the sum of its proper divisors (1862670058).

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

1275252800 is an equidigital number, since it uses as much as digits as its factorization.

1275252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797055 (or 797040 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 1275252800 is about 35710.6818753157. The cubic root of 1275252800 is about 1084.4231043060.

The spelling of 1275252800 in words is "one billion, two hundred seventy-five million, two hundred fifty-two thousand, eight hundred".