1328529601 has 27 divisors (see below), whose sum is σ = 1596616227. Its totient is φ = 1102217760.

The previous prime is 1328529599. The next prime is 1328529691. The reversal of 1328529601 is 1069258231.

The square root of 1328529601 is 36449.

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., 64016001 + 1264513600 = 8001^2 + 35560^2 .

It is not a de Polignac number, because 1328529601 - 2¹ = 1328529599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1328529691) 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, 10460800 + ... + 10460926.

Almost surely, 2^1328529601 is an apocalyptic number.

1328529601 is the 36449-th square number.

1328529601 is the 18225-th centered octagonal number.

It is an amenable number.

1328529601 is a deficient number, since it is larger than the sum of its proper divisors (268086626).

1328529601 is an frugal number, since it uses more digits than its factorization.

1328529601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The cubic root of 1328529601 is about 1099.3190278318.

The spelling of 1328529601 in words is "one billion, three hundred twenty-eight million, five hundred twenty-nine thousand, six hundred one".