1275252384 has 96 divisors (see below), whose sum is σ = 3834432000. Its totient is φ = 363532032.

The previous prime is 1275252383. The next prime is 1275252427. The reversal of 1275252384 is 4832525721.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1275252383) 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 15 ways as a sum of consecutive naturals, for example, 333427 + ... + 337229.

It is an arithmetic number, because the mean of its divisors is an integer number (39942000).

Almost surely, 2^1275252384 is an apocalyptic number.

1275252384 is a gapful number since it is divisible by the number (14) 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 1275252384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917216000).

1275252384 is an abundant number, since it is smaller than the sum of its proper divisors (2559179616).

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

1275252384 is a wasteful number, since it uses less digits than its factorization.

1275252384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4314 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 1275252384 is about 35710.6760507275. The cubic root of 1275252384 is about 1084.4229863895.

The spelling of 1275252384 in words is "one billion, two hundred seventy-five million, two hundred fifty-two thousand, three hundred eighty-four".