3312541961521 has 27 divisors (see below), whose sum is σ = 3610757898657. Its totient is φ = 3037572289440.

The previous prime is 3312541961423. The next prime is 3312541961593. The reversal of 3312541961521 is 1251691452133.

The square root of 3312541961521 is 1820039.

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 197881735921 + 3114660225600 = 444839^2 + 1764840^2 .

It is not a de Polignac number, because 3312541961521 - 2³³ = 3303952026929 is a prime.

It is a super-3 number, since 3×3312541961521³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3312541941521) 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 26 ways as a sum of consecutive naturals, for example, 4519156471 + ... + 4519157203.

Almost surely, 2^{3312541961521} is an apocalyptic number.

3312541961521 is the 1820039-th square number.

3312541961521 is the 910020-th centered octagonal number.

It is an amenable number.

3312541961521 is a deficient number, since it is larger than the sum of its proper divisors (298215937136).

3312541961521 is an frugal number, since it uses more digits than its factorization.

3312541961521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 937 counting only the distinct ones).

The product of its digits is 194400, while the sum is 43.

The spelling of 3312541961521 in words is "three trillion, three hundred twelve billion, five hundred forty-one million, nine hundred sixty-one thousand, five hundred twenty-one".