3223871981253 has 864 divisors, whose sum is σ = 7031783356416. Its totient is φ = 1384998912000.

The previous prime is 3223871981251. The next prime is 3223871981261. The reversal of 3223871981253 is 3521891783223.

3223871981253 is a `hidden beast` number, since 3 + 2 + 2 + 387 + 1 + 9 + 8 + 1 + 253 = 666.

It is not a de Polignac number, because 3223871981253 - 2¹ = 3223871981251 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3223871981253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223871981251) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 78631023913 + ... + 78631023953.

It is an arithmetic number, because the mean of its divisors is an integer number (8138638144).

Almost surely, 2^{3223871981253} is an apocalyptic number.

3223871981253 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3223871981253 is an abundant number, since it is smaller than the sum of its proper divisors (3807911375163).

3223871981253 is a wasteful number, since it uses less digits than its factorization.

3223871981253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 170 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 3223871981253 in words is "three trillion, two hundred twenty-three billion, eight hundred seventy-one million, nine hundred eighty-one thousand, two hundred fifty-three".