1330075517521 has 27 divisors (see below), whose sum is σ = 1426325260507. Its totient is φ = 1240200859040.

The previous prime is 1330075517509. The next prime is 1330075517579. The reversal of 1330075517521 is 1257155700331.

The square root of 1330075517521 is 1153289.

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., 64090491921 + 1265985025600 = 253161^2 + 1125160^2 .

It is not a de Polignac number, because 1330075517521 - 2¹⁷ = 1330075386449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1330075517821) 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, 1087550916 + ... + 1087552138.

Almost surely, 2^{1330075517521} is an apocalyptic number.

1330075517521 is the 1153289-th square number.

1330075517521 is the 576645-th centered octagonal number.

It is an amenable number.

1330075517521 is a deficient number, since it is larger than the sum of its proper divisors (96249742986).

1330075517521 is an frugal number, since it uses more digits than its factorization.

1330075517521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 110250, while the sum is 40.

The spelling of 1330075517521 in words is "one trillion, three hundred thirty billion, seventy-five million, five hundred seventeen thousand, five hundred twenty-one".