82733408013825 has 18 divisors (see below), whose sum is σ = 148184726354054. Its totient is φ = 44124484273920.

The previous prime is 82733408013821. The next prime is 82733408013833. The reversal of 82733408013825 is 52831080433728.

82733408013825 is a `hidden beast` number, since 8 + 2 + 73 + 340 + 80 + 138 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 31553482689 + 82701854531136 = 177633^2 + 9094056^2 .

It is not a de Polignac number, because 82733408013825 - 2² = 82733408013821 is a prime.

It is a super-2 number, since 2×82733408013825² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82733408013821) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 183852017584 + ... + 183852018033.

Almost surely, 2^{82733408013825} is an apocalyptic number.

It is an amenable number.

82733408013825 is a deficient number, since it is larger than the sum of its proper divisors (65451318340229).

82733408013825 is a wasteful number, since it uses less digits than its factorization.

82733408013825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367704035633 (or 367704035625 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 82733408013825 in words is "eighty-two trillion, seven hundred thirty-three billion, four hundred eight million, thirteen thousand, eight hundred twenty-five".