82052000041 has 8 divisors (see below), whose sum is σ = 92398733568. Its totient is φ = 72186510000.

The previous prime is 82051999973. The next prime is 82052000057. The reversal of 82052000041 is 14000025028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82052000041 - 2²⁵ = 82018445609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82051999976 and 82052000021.

It is not an unprimeable number, because it can be changed into a prime (82052000941) 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 7 ways as a sum of consecutive naturals, for example, 120310510 + ... + 120311191.

It is an arithmetic number, because the mean of its divisors is an integer number (11549841696).

Almost surely, 2^82052000041 is an apocalyptic number.

It is an amenable number.

82052000041 is a deficient number, since it is larger than the sum of its proper divisors (10346733527).

82052000041 is a wasteful number, since it uses less digits than its factorization.

82052000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240621743.

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 82052000041 its reverse (14000025028), we get a palindrome (96052025069).

The spelling of 82052000041 in words is "eighty-two billion, fifty-two million, forty-one", and thus it is an aban number and an uban number.