82610831241 has 27 divisors (see below), whose sum is σ = 120320104359. Its totient is φ = 54619187472.

The previous prime is 82610831221. The next prime is 82610831257. The reversal of 82610831241 is 14213801628.

The square root of 82610831241 is 287421.

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

82610831241 is a `hidden beast` number, since 8 + 2 + 610 + 8 + 31 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9678427641 + 72932403600 = 98379^2 + 270060^2 .

It is not a de Polignac number, because 82610831241 - 2⁷ = 82610831113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82610831196 and 82610831205.

It is not an unprimeable number, because it can be changed into a prime (82610831221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 128476866 + ... + 128477508.

Almost surely, 2^82610831241 is an apocalyptic number.

82610831241 is the 287421-st square number.

82610831241 is the 143711-st centered octagonal number.

It is an amenable number.

82610831241 is a deficient number, since it is larger than the sum of its proper divisors (37709273118).

82610831241 is an frugal number, since it uses more digits than its factorization.

82610831241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 82610831241 by its sum of digits (36), we get a square (2973989924676 = 1724526²).

The spelling of 82610831241 in words is "eighty-two billion, six hundred ten million, eight hundred thirty-one thousand, two hundred forty-one".