282820681305 has 48 divisors (see below), whose sum is σ = 520546899600. Its totient is φ = 141557981184.

The previous prime is 282820681291. The next prime is 282820681307. The reversal of 282820681305 is 503186028282.

282820681305 is a `hidden beast` number, since 2 + 8 + 282 + 0 + 68 + 1 + 305 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3729300624 + 279091380681 = 61068^2 + 528291^2 .

It is not a de Polignac number, because 282820681305 - 2¹⁶ = 282820615769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (282820681307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262672 + ... + 796641.

It is an arithmetic number, because the mean of its divisors is an integer number (10844727075).

Almost surely, 2^282820681305 is an apocalyptic number.

It is an amenable number.

282820681305 is a deficient number, since it is larger than the sum of its proper divisors (237726218295).

282820681305 is a wasteful number, since it uses less digits than its factorization.

282820681305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059690 (or 1059687 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 282820681305 in words is "two hundred eighty-two billion, eight hundred twenty million, six hundred eighty-one thousand, three hundred five".