1331411409 has 12 divisors (see below), whose sum is σ = 1970056452. Its totient is φ = 865958400.

The previous prime is 1331411407. The next prime is 1331411413. The reversal of 1331411409 is 9041141331.

It can be written as a sum of positive squares in 2 ways, for example, as 39727809 + 1291683600 = 6303^2 + 35940^2 .

It is not a de Polignac number, because 1331411409 - 2¹ = 1331411407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1331411407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1803712 + ... + 1804449.

It is an arithmetic number, because the mean of its divisors is an integer number (164171371).

Almost surely, 2^1331411409 is an apocalyptic number.

It is an amenable number.

1331411409 is a deficient number, since it is larger than the sum of its proper divisors (638645043).

1331411409 is a wasteful number, since it uses less digits than its factorization.

1331411409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608208 (or 3608205 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1331411409 is about 36488.5106437629. The cubic root of 1331411409 is about 1100.1133241374.

The spelling of 1331411409 in words is "one billion, three hundred thirty-one million, four hundred eleven thousand, four hundred nine".