1329404521 has 15 divisors (see below), whose sum is σ = 1417290983. Its totient is φ = 1246966200.

The previous prime is 1329404519. The next prime is 1329404543. The reversal of 1329404521 is 1254049231.

The square root of 1329404521 is 36461.

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., 1277276121 + 52128400 = 35739^2 + 7220^2 .

It is not a de Polignac number, because 1329404521 - 2¹ = 1329404519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1329404501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13162371 + ... + 13162471.

Almost surely, 2^1329404521 is an apocalyptic number.

1329404521 is the 36461-st square number.

1329404521 is the 18231-st centered octagonal number.

It is an amenable number.

1329404521 is a deficient number, since it is larger than the sum of its proper divisors (87886462).

1329404521 is an frugal number, since it uses more digits than its factorization.

1329404521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 1329404521 is about 1099.5602983667.

The spelling of 1329404521 in words is "one billion, three hundred twenty-nine million, four hundred four thousand, five hundred twenty-one".