82705258121257 has 8 divisors (see below), whose sum is σ = 82871791200000. Its totient is φ = 82538728207824.

The previous prime is 82705258121191. The next prime is 82705258121261. The reversal of 82705258121257 is 75212185250728.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82705258121257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82705258121198 and 82705258121207.

It is not an unprimeable number, because it can be changed into a prime (82705258121357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55552023 + ... + 57021379.

It is an arithmetic number, because the mean of its divisors is an integer number (10358973900000).

Almost surely, 2^{82705258121257} is an apocalyptic number.

It is an amenable number.

82705258121257 is a deficient number, since it is larger than the sum of its proper divisors (166533078743).

82705258121257 is a wasteful number, since it uses less digits than its factorization.

82705258121257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582655.

The product of its (nonzero) digits is 6272000, while the sum is 55.

The spelling of 82705258121257 in words is "eighty-two trillion, seven hundred five billion, two hundred fifty-eight million, one hundred twenty-one thousand, two hundred fifty-seven".