1305374800900 has 81 divisors (see below), whose sum is σ = 2881400072733. Its totient is φ = 513315878400.

The previous prime is 1305374800889. The next prime is 1305374800913. The reversal of 1305374800900 is 90084735031.

The square root of 1305374800900 is 1142530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 910448022276 + 394926778624 = 954174^2 + 628432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 696942364 + ... + 696944236.

Almost surely, 2^{1305374800900} is an apocalyptic number.

1305374800900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1305374800900 is the 1142530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305374800900

1305374800900 is an abundant number, since it is smaller than the sum of its proper divisors (1576025271833).

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

1305374800900 is an frugal number, since it uses more digits than its factorization.

1305374800900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 1305374800900 in words is "one trillion, three hundred five billion, three hundred seventy-four million, eight hundred thousand, nine hundred".