82358903061 has 48 divisors (see below), whose sum is σ = 126328762560. Its totient is φ = 53590481280.

The previous prime is 82358903059. The next prime is 82358903087. The reversal of 82358903061 is 16030985328.

It is a happy number.

82358903061 is a `hidden beast` number, since 8 + 2 + 3 + 589 + 0 + 3 + 0 + 61 = 666.

It is not a de Polignac number, because 82358903061 - 2¹ = 82358903059 is a prime.

It is a super-2 number, since 2×82358903061² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82358902998 and 82358903016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82358903161) 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, 25504395 + ... + 25507623.

It is an arithmetic number, because the mean of its divisors is an integer number (2631849220).

Almost surely, 2^82358903061 is an apocalyptic number.

82358903061 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82358903061 is a deficient number, since it is larger than the sum of its proper divisors (43969859499).

82358903061 is a wasteful number, since it uses less digits than its factorization.

82358903061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728 (or 5716 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 82358903061 in words is "eighty-two billion, three hundred fifty-eight million, nine hundred three thousand, sixty-one".