1305028384452 has 144 divisors (see below), whose sum is σ = 3772400591232. Its totient is φ = 376836848640.

The previous prime is 1305028384423. The next prime is 1305028384453. The reversal of 1305028384452 is 2544838205031.

1305028384452 is a `hidden beast` number, since 13 + 0 + 502 + 8 + 3 + 84 + 4 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1305028384398 and 1305028384407.

It is not an unprimeable number, because it can be changed into a prime (1305028384453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2524377 + ... + 2997087.

It is an arithmetic number, because the mean of its divisors is an integer number (26197226328).

Almost surely, 2^{1305028384452} is an apocalyptic number.

1305028384452 is a gapful number since it is divisible by the number (12) 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 1305028384452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886200295616).

1305028384452 is an abundant number, since it is smaller than the sum of its proper divisors (2467372206780).

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

1305028384452 is a wasteful number, since it uses less digits than its factorization.

1305028384452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473098 (or 473093 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 1305028384452 in words is "one trillion, three hundred five billion, twenty-eight million, three hundred eighty-four thousand, four hundred fifty-two".