3225978802201 has 9 divisors (see below), whose sum is σ = 3426937253341. Its totient is φ = 3036186605632.

The previous prime is 3225978802181. The next prime is 3225978802213. The reversal of 3225978802201 is 1022088795223.

The square root of 3225978802201 is 1796101.

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 446356273801 + 2779622528400 = 668099^2 + 1667220^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3225978802201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3225978802001) 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 8 ways as a sum of consecutive naturals, for example, 30480891 + ... + 30586543.

Almost surely, 2^{3225978802201} is an apocalyptic number.

3225978802201 is the 1796101-st square number.

3225978802201 is the 898051-st centered octagonal number.

It is an amenable number.

3225978802201 is a deficient number, since it is larger than the sum of its proper divisors (200958451140).

3225978802201 is an frugal number, since it uses more digits than its factorization.

3225978802201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211340 (or 105670 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 3225978802201 by its sum of digits (49), we get a square (158072961307849 = 12572707²).

The spelling of 3225978802201 in words is "three trillion, two hundred twenty-five billion, nine hundred seventy-eight million, eight hundred two thousand, two hundred one".