1256755500 has 960 divisors, whose sum is σ = 5682733056. Its totient is φ = 233280000.

The previous prime is 1256755483. The next prime is 1256755543. The reversal of 1256755500 is 55576521.

It is a happy number.

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

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 319 ways as a sum of consecutive naturals, for example, 40540485 + ... + 40540515.

Almost surely, 2^1256755500 is an apocalyptic number.

1256755500 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 1256755500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841366528).

1256755500 is an abundant number, since it is smaller than the sum of its proper divisors (4425977556).

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

1256755500 is a wasteful number, since it uses less digits than its factorization.

1256755500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The square root of 1256755500 is about 35450.7475238534. The cubic root of 1256755500 is about 1079.1544307400.

The spelling of 1256755500 in words is "one billion, two hundred fifty-six million, seven hundred fifty-five thousand, five hundred".