83212544212281 has 243 divisors, whose sum is σ = 140889359309517. Its totient is φ = 47288919744000.

The previous prime is 83212544212253. The next prime is 83212544212387. The reversal of 83212544212281 is 18221244521238.

The square root of 83212544212281 is 9122091.

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

83212544212281 is a `hidden beast` number, since 8 + 3 + 2 + 1 + 2 + 5 + 442 + 122 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36121602515625 + 47090941696656 = 6010125^2 + 6862284^2 .

It is not a de Polignac number, because 83212544212281 - 2⁷ = 83212544212153 is a prime.

It is a super-2 number, since 2×83212544212281² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83212544212201) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 345280266321 + ... + 345280266561.

Almost surely, 2^{83212544212281} is an apocalyptic number.

83212544212281 is the 9122091-st square number.

83212544212281 is the 4561046-th centered octagonal number.

It is an amenable number.

83212544212281 is a deficient number, since it is larger than the sum of its proper divisors (57676815097236).

83212544212281 is a wasteful number, since it uses less digits than its factorization.

83212544212281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 323 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The spelling of 83212544212281 in words is "eighty-three trillion, two hundred twelve billion, five hundred forty-four million, two hundred twelve thousand, two hundred eighty-one".