3206251941201 has 27 divisors (see below), whose sum is σ = 4643287568283. Its totient is φ = 2131961174640.

The previous prime is 3206251941181. The next prime is 3206251941209. The reversal of 3206251941201 is 1021491526023.

The square root of 3206251941201 is 1790601.

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

3206251941201 is a `hidden beast` number, since 3 + 2 + 0 + 625 + 1 + 9 + 4 + 1 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 875439051201 + 2330812890000 = 935649^2 + 1526700^2 .

It is not a de Polignac number, because 3206251941201 - 2⁷ = 3206251941073 is a prime.

It is a super-3 number, since 3×3206251941201³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3206251941209) 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, 3905300371 + ... + 3905301191.

Almost surely, 2^{3206251941201} is an apocalyptic number.

3206251941201 is the 1790601-st square number.

3206251941201 is the 895301-st centered octagonal number.

It is an amenable number.

3206251941201 is a deficient number, since it is larger than the sum of its proper divisors (1437035627082).

3206251941201 is an frugal number, since it uses more digits than its factorization.

3206251941201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 3206251941201 by its sum of digits (36), we get a square (115425069883236 = 10743606²).

The spelling of 3206251941201 in words is "three trillion, two hundred six billion, two hundred fifty-one million, nine hundred forty-one thousand, two hundred one".