1330444595601 has 135 divisors (see below), whose sum is σ = 2232645602187. Its totient is φ = 788959116000.

The previous prime is 1330444595593. The next prime is 1330444595603. The reversal of 1330444595601 is 1065954440331.

The square root of 1330444595601 is 1153449.

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

1330444595601 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 44 + 45 + 9 + 560 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43263584001 + 1287181011600 = 207999^2 + 1134540^2 .

It is not a de Polignac number, because 1330444595601 - 2³ = 1330444595593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1330444595603) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6965678416 + ... + 6965678606.

Almost surely, 2^{1330444595601} is an apocalyptic number.

1330444595601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1330444595601 is the 1153449-th square number.

1330444595601 is the 576725-th centered octagonal number.

It is an amenable number.

1330444595601 is a deficient number, since it is larger than the sum of its proper divisors (902201006586).

1330444595601 is an frugal number, since it uses more digits than its factorization.

1330444595601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1330444595601 in words is "one trillion, three hundred thirty billion, four hundred forty-four million, five hundred ninety-five thousand, six hundred one".