82742124507257 has 4 divisors (see below), whose sum is σ = 82742146462836. Its totient is φ = 82742102551680.

The previous prime is 82742124507239. The next prime is 82742124507281. The reversal of 82742124507257 is 75270542124728.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6288278430736 + 76453846076521 = 2507644^2 + 8743789^2 .

It is a cyclic number.

It is not a de Polignac number, because 82742124507257 - 2⁶ = 82742124507193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82742124507457) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3729668 + ... + 13393829.

It is an arithmetic number, because the mean of its divisors is an integer number (20685536615709).

Almost surely, 2^{82742124507257} is an apocalyptic number.

It is an amenable number.

82742124507257 is a deficient number, since it is larger than the sum of its proper divisors (21955579).

82742124507257 is a wasteful number, since it uses less digits than its factorization.

82742124507257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21955578.

The product of its (nonzero) digits is 17561600, while the sum is 56.

The spelling of 82742124507257 in words is "eighty-two trillion, seven hundred forty-two billion, one hundred twenty-four million, five hundred seven thousand, two hundred fifty-seven".