1330421526721 has 27 divisors (see below), whose sum is σ = 1577892310281. Its totient is φ = 1118485184544.

The previous prime is 1330421526703. The next prime is 1330421526737. The reversal of 1330421526721 is 1276251240331.

The square root of 1330421526721 is 1153439.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19707948225 + 1310713578496 = 140385^2 + 1144864^2 .

It is not a de Polignac number, because 1330421526721 - 2⁷ = 1330421526593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1330421526751) 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 26 ways as a sum of consecutive naturals, for example, 427924315 + ... + 427927423.

Almost surely, 2^{1330421526721} is an apocalyptic number.

1330421526721 is the 1153439-th square number.

1330421526721 is the 576720-th centered octagonal number.

It is an amenable number.

1330421526721 is a deficient number, since it is larger than the sum of its proper divisors (247470783560).

1330421526721 is an frugal number, since it uses more digits than its factorization.

1330421526721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6338 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 1330421526721 in words is "one trillion, three hundred thirty billion, four hundred twenty-one million, five hundred twenty-six thousand, seven hundred twenty-one".