1305315215145 has 24 divisors (see below), whose sum is σ = 2305235931336. Its totient is φ = 683032866048.

The previous prime is 1305315215129. The next prime is 1305315215161. The reversal of 1305315215145 is 5415125135031.

1305315215145 is a `hidden beast` number, since 1 + 30 + 53 + 1 + 521 + 51 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1305315215129) and next prime (1305315215161).

It can be written as a sum of positive squares in 4 ways, for example, as 335824886016 + 969490329129 = 579504^2 + 984627^2 .

It is not a de Polignac number, because 1305315215145 - 2⁴ = 1305315215129 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 273648604 + ... + 273653373.

It is an arithmetic number, because the mean of its divisors is an integer number (96051497139).

Almost surely, 2^{1305315215145} is an apocalyptic number.

1305315215145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1305315215145 is a deficient number, since it is larger than the sum of its proper divisors (999920716191).

1305315215145 is a wasteful number, since it uses less digits than its factorization.

1305315215145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547302041 (or 547302038 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 1305315215145 in words is "one trillion, three hundred five billion, three hundred fifteen million, two hundred fifteen thousand, one hundred forty-five".