1305513404240 has 40 divisors (see below), whose sum is σ = 3037659167400. Its totient is φ = 521802694656.

The previous prime is 1305513404231. The next prime is 1305513404267. The reversal of 1305513404240 is 424043155031.

It can be written as a sum of positive squares in 4 ways, for example, as 759812075584 + 545701328656 = 871672^2 + 738716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1305513404197 and 1305513404206.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6187265 + ... + 6394784.

It is an arithmetic number, because the mean of its divisors is an integer number (75941479185).

Almost surely, 2^{1305513404240} is an apocalyptic number.

1305513404240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305513404240 is an abundant number, since it is smaller than the sum of its proper divisors (1732145763160).

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

1305513404240 is a wasteful number, since it uses less digits than its factorization.

1305513404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12583359 (or 12583353 counting only the distinct ones).

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

Adding to 1305513404240 its reverse (424043155031), we get a palindrome (1729556559271).

The spelling of 1305513404240 in words is "one trillion, three hundred five billion, five hundred thirteen million, four hundred four thousand, two hundred forty".