1251255984 has 80 divisors (see below), whose sum is σ = 3566021760. Its totient is φ = 374894080.

The previous prime is 1251255979. The next prime is 1251255991. The reversal of 1251255984 is 4895521521.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33679 + ... + 60305.

It is an arithmetic number, because the mean of its divisors is an integer number (44575272).

Almost surely, 2^1251255984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251255984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783010880).

1251255984 is an abundant number, since it is smaller than the sum of its proper divisors (2314765776).

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

1251255984 is a wasteful number, since it uses less digits than its factorization.

1251255984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26738 (or 26732 counting only the distinct ones).

The product of its digits is 144000, while the sum is 42.

The square root of 1251255984 is about 35373.0968958049. The cubic root of 1251255984 is about 1077.5780156438.

The spelling of 1251255984 in words is "one billion, two hundred fifty-one million, two hundred fifty-five thousand, nine hundred eighty-four".