305303413512 has 128 divisors (see below), whose sum is σ = 795484800000. Its totient is φ = 97565610240.

The previous prime is 305303413507. The next prime is 305303413517. The reversal of 305303413512 is 215314303503.

It is an interprime number because it is at equal distance from previous prime (305303413507) and next prime (305303413517).

It is a self number, because there is not a number n which added to its sum of digits gives 305303413512.

It is not an unprimeable number, because it can be changed into a prime (305303413517) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31408189 + ... + 31417907.

It is an arithmetic number, because the mean of its divisors is an integer number (6214725000).

Almost surely, 2^305303413512 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 305303413512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397742400000).

305303413512 is an abundant number, since it is smaller than the sum of its proper divisors (490181386488).

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

305303413512 is a wasteful number, since it uses less digits than its factorization.

305303413512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331 (or 10327 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 305303413512 in words is "three hundred five billion, three hundred three million, four hundred thirteen thousand, five hundred twelve".