82615430041 has 9 divisors (see below), whose sum is σ = 83646943509. Its totient is φ = 81596494236.

The previous prime is 82615430017. The next prime is 82615430059. The reversal of 82615430041 is 14003451628.

The square root of 82615430041 is 287429.

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

It is not a de Polignac number, because 82615430041 - 2⁷ = 82615429913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82615429979 and 82615430006.

It is not an unprimeable number, because it can be changed into a prime (82615430081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23854876 + ... + 23858338.

Almost surely, 2^82615430041 is an apocalyptic number.

82615430041 is the 287429-th square number.

82615430041 is the 143715-th centered octagonal number.

It is an amenable number.

82615430041 is a deficient number, since it is larger than the sum of its proper divisors (1031513468).

82615430041 is an frugal number, since it uses more digits than its factorization.

82615430041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7092 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 82615430041 its reverse (14003451628), we get a palindrome (96618881669).

It can be divided in two parts, 82615 and 430041, that added together give a square (512656 = 716²).

The spelling of 82615430041 in words is "eighty-two billion, six hundred fifteen million, four hundred thirty thousand, forty-one".