1305342530000 has 100 divisors (see below), whose sum is σ = 3195876695220. Its totient is φ = 516269952000.

The previous prime is 1305342529963. The next prime is 1305342530027. The reversal of 1305342530000 is 352435031.

It can be written as a sum of positive squares in 10 ways, for example, as 1218621703744 + 86720826256 = 1103912^2 + 294484^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 156662 + ... + 1623338.

Almost surely, 2^{1305342530000} is an apocalyptic number.

1305342530000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305342530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597938347610).

1305342530000 is an abundant number, since it is smaller than the sum of its proper divisors (1890534165220).

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

1305342530000 is an equidigital number, since it uses as much as digits as its factorization.

1305342530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466794 (or 1466773 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

Adding to 1305342530000 its reverse (352435031), we get a palindrome (1305694965031).

The spelling of 1305342530000 in words is "one trillion, three hundred five billion, three hundred forty-two million, five hundred thirty thousand".