1312105729 has 27 divisors (see below), whose sum is σ = 1499106441. Its totient is φ = 1147544640.

The previous prime is 1312105727. The next prime is 1312105733. The reversal of 1312105729 is 9275012131.

The square root of 1312105729 is 36223.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19847025 + 1292258704 = 4455^2 + 35948^2 .

It is not a de Polignac number, because 1312105729 - 2¹ = 1312105727 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1312105729.

It is not an unprimeable number, because it can be changed into a prime (1312105727) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14742717 + ... + 14742805.

Almost surely, 2^1312105729 is an apocalyptic number.

1312105729 is the 36223-rd square number.

1312105729 is the 18112-nd centered octagonal number.

It is an amenable number.

1312105729 is a deficient number, since it is larger than the sum of its proper divisors (187000712).

1312105729 is an frugal number, since it uses more digits than its factorization.

1312105729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The cubic root of 1312105729 is about 1094.7701411421.

The spelling of 1312105729 in words is "one billion, three hundred twelve million, one hundred five thousand, seven hundred twenty-nine".