1256783752 has 96 divisors (see below), whose sum is σ = 2932225920. Its totient is φ = 501742080.

The previous prime is 1256783743. The next prime is 1256783797. The reversal of 1256783752 is 2573876521.

Its product of digits (705600) is a multiple of the sum of its prime divisors (1960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 685477 + ... + 687307.

It is an arithmetic number, because the mean of its divisors is an integer number (30544020).

Almost surely, 2^1256783752 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 1256783752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466112960).

1256783752 is an abundant number, since it is smaller than the sum of its proper divisors (1675442168).

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

1256783752 is a wasteful number, since it uses less digits than its factorization.

1256783752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1960 counting only the distinct ones).

The product of its digits is 705600, while the sum is 46.

The square root of 1256783752 is about 35451.1459899395. The cubic root of 1256783752 is about 1079.1625171823.

The spelling of 1256783752 in words is "one billion, two hundred fifty-six million, seven hundred eighty-three thousand, seven hundred fifty-two".