1306027321 has 9 divisors (see below), whose sum is σ = 1327288783. Its totient is φ = 1285102840.

The previous prime is 1306027309. The next prime is 1306027357. The reversal of 1306027321 is 1237206031.

The square root of 1306027321 is 36139.

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

It can be written as a sum of positive squares in only one way, i.e., 1062042921 + 243984400 = 32589^2 + 15620^2 .

It is not a de Polignac number, because 1306027321 - 2⁹ = 1306026809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1306027361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2565615 + ... + 2566123.

Almost surely, 2^1306027321 is an apocalyptic number.

1306027321 is the 36139-th square number.

1306027321 is the 18070-th centered octagonal number.

It is an amenable number.

1306027321 is a deficient number, since it is larger than the sum of its proper divisors (21261462).

1306027321 is an frugal number, since it uses more digits than its factorization.

1306027321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The cubic root of 1306027321 is about 1093.0769945987.

Multiplying 1306027321 by its sum of digits (25), we get a square (32650683025 = 180695²).

The spelling of 1306027321 in words is "one billion, three hundred six million, twenty-seven thousand, three hundred twenty-one".