3287153928601 has 27 divisors (see below), whose sum is σ = 3444017305053. Its totient is φ = 3137303450400.

The previous prime is 3287153928523. The next prime is 3287153928767. The reversal of 3287153928601 is 1068293517823.

The square root of 3287153928601 is 1813051.

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 1080146568601 + 2207007360000 = 1039301^2 + 1485600^2 .

It is not a de Polignac number, because 3287153928601 - 2⁹ = 3287153928089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3287153920601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5310426070 + ... + 5310426688.

Almost surely, 2^{3287153928601} is an apocalyptic number.

3287153928601 is the 1813051-st square number.

3287153928601 is the 906526-th centered octagonal number.

It is an amenable number.

3287153928601 is a deficient number, since it is larger than the sum of its proper divisors (156863376452).

3287153928601 is an frugal number, since it uses more digits than its factorization.

3287153928601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 3287153928601 in words is "three trillion, two hundred eighty-seven billion, one hundred fifty-three million, nine hundred twenty-eight thousand, six hundred one".