1255071506304 has 256 divisors, whose sum is σ = 4157682024960. Its totient is φ = 325892505600.

The previous prime is 1255071506281. The next prime is 1255071506317. The reversal of 1255071506304 is 4036051705521.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 188078712 + ... + 188085384.

It is an arithmetic number, because the mean of its divisors is an integer number (16240945410).

Almost surely, 2^{1255071506304} is an apocalyptic number.

1255071506304 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 1255071506304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078841012480).

1255071506304 is an abundant number, since it is smaller than the sum of its proper divisors (2902610518656).

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

1255071506304 is a wasteful number, since it uses less digits than its factorization.

1255071506304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13069 (or 13057 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 1255071506304 in words is "one trillion, two hundred fifty-five billion, seventy-one million, five hundred six thousand, three hundred four".