82538170953 has 32 divisors (see below), whose sum is σ = 126149610240. Its totient is φ = 47023441920.

The previous prime is 82538170951. The next prime is 82538170969. The reversal of 82538170953 is 35907183528.

It is a happy number.

It is not a de Polignac number, because 82538170953 - 2¹ = 82538170951 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82538170896 and 82538170905.

It is not an unprimeable number, because it can be changed into a prime (82538170951) 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 31 ways as a sum of consecutive naturals, for example, 11692401 + ... + 11699457.

It is an arithmetic number, because the mean of its divisors is an integer number (3942175320).

Almost surely, 2^82538170953 is an apocalyptic number.

It is an amenable number.

82538170953 is a deficient number, since it is larger than the sum of its proper divisors (43611439287).

82538170953 is a wasteful number, since it uses less digits than its factorization.

82538170953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8657.

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 82538170953 in words is "eighty-two billion, five hundred thirty-eight million, one hundred seventy thousand, nine hundred fifty-three".