82680461253 has 48 divisors (see below), whose sum is σ = 129132297840. Its totient is φ = 50675715072.

The previous prime is 82680461209. The next prime is 82680461321. The reversal of 82680461253 is 35216408628.

82680461253 is a `hidden beast` number, since 8 + 26 + 8 + 0 + 4 + 612 + 5 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4010308929 + 78670152324 = 63327^2 + 280482^2 .

It is not a de Polignac number, because 82680461253 - 2¹⁰ = 82680460229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82680461199 and 82680461208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82680461653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47708575 + ... + 47710307.

It is an arithmetic number, because the mean of its divisors is an integer number (2690256205).

Almost surely, 2^82680461253 is an apocalyptic number.

It is an amenable number.

82680461253 is a deficient number, since it is larger than the sum of its proper divisors (46451836587).

82680461253 is a wasteful number, since it uses less digits than its factorization.

82680461253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 82680461253 in words is "eighty-two billion, six hundred eighty million, four hundred sixty-one thousand, two hundred fifty-three".