1305235104224 has 48 divisors (see below), whose sum is σ = 2573281922400. Its totient is φ = 651703739904.

The previous prime is 1305235104193. The next prime is 1305235104259. The reversal of 1305235104224 is 4224015325031.

It is a super-2 number, since 2×1305235104224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99182957 + ... + 99196115.

It is an arithmetic number, because the mean of its divisors is an integer number (53610040050).

Almost surely, 2^{1305235104224} is an apocalyptic number.

It is an amenable number.

1305235104224 is a deficient number, since it is larger than the sum of its proper divisors (1268046818176).

1305235104224 is a wasteful number, since it uses less digits than its factorization.

1305235104224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17275 (or 17267 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 1305235104224 in words is "one trillion, three hundred five billion, two hundred thirty-five million, one hundred four thousand, two hundred twenty-four".