1305257139648 has 1792 divisors, whose sum is σ = 5397564211200. Its totient is φ = 301086720000.

The previous prime is 1305257139623. The next prime is 1305257139679. The reversal of 1305257139648 is 8469317525031.

It is a happy number.

1305257139648 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 2 + 571 + 3 + 9 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1305257139594 and 1305257139603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5200227523 + ... + 5200227773.

It is an arithmetic number, because the mean of its divisors is an integer number (3012033600).

It is a 1-persistent number, because it is pandigital, but 2⋅1305257139648 = 2610514279296 is not.

Almost surely, 2^{1305257139648} is an apocalyptic number.

1305257139648 is a gapful number since it is divisible by the number (18) 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 1305257139648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698782105600).

1305257139648 is an abundant number, since it is smaller than the sum of its proper divisors (4092307071552).

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

1305257139648 is a wasteful number, since it uses less digits than its factorization.

1305257139648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1305257139648 in words is "one trillion, three hundred five billion, two hundred fifty-seven million, one hundred thirty-nine thousand, six hundred forty-eight".