282105757607013 has 12 divisors (see below), whose sum is σ = 407490612927840. Its totient is φ = 188068419560616.

The previous prime is 282105757606999. The next prime is 282105757607053. The reversal of 282105757607013 is 310706757501282.

282105757607013 is a `hidden beast` number, since 2 + 8 + 2 + 1 + 0 + 57 + 576 + 0 + 7 + 0 + 13 = 666.

It is not a de Polignac number, because 282105757607013 - 2¹² = 282105757602917 is a prime.

It is a super-2 number, since 2×282105757607013² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282105757607053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172935633 + ... + 174559286.

It is an arithmetic number, because the mean of its divisors is an integer number (33957551077320).

Almost surely, 2^{282105757607013} is an apocalyptic number.

It is an amenable number.

282105757607013 is a deficient number, since it is larger than the sum of its proper divisors (125384855320827).

282105757607013 is a wasteful number, since it uses less digits than its factorization.

282105757607013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347585128 (or 347585125 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 282105757607013 in words is "two hundred eighty-two trillion, one hundred five billion, seven hundred fifty-seven million, six hundred seven thousand, thirteen".