1305430253505 has 72 divisors (see below), whose sum is σ = 2636442485352. Its totient is φ = 595800285696.

The previous prime is 1305430253497. The next prime is 1305430253537. The reversal of 1305430253505 is 5053520345031.

1305430253505 is a `hidden beast` number, since 13 + 0 + 543 + 0 + 2 + 53 + 50 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 159603446016 + 1145826807489 = 399504^2 + 1070433^2 .

It is not a de Polignac number, because 1305430253505 - 2³ = 1305430253497 is a prime.

It is a super-2 number, since 2×1305430253505² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1305430253505.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 880719 + ... + 1840251.

It is an arithmetic number, because the mean of its divisors is an integer number (36617256741).

Almost surely, 2^{1305430253505} is an apocalyptic number.

1305430253505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1305430253505 is an abundant number, since it is smaller than the sum of its proper divisors (1331012231847).

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

1305430253505 is a wasteful number, since it uses less digits than its factorization.

1305430253505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960175 (or 960165 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

Adding to 1305430253505 its reverse (5053520345031), we get a palindrome (6358950598536).

The spelling of 1305430253505 in words is "one trillion, three hundred five billion, four hundred thirty million, two hundred fifty-three thousand, five hundred five".