82435756257 has 12 divisors (see below), whose sum is σ = 119584919844. Its totient is φ = 54721301760.

The previous prime is 82435756253. The next prime is 82435756309. The reversal of 82435756257 is 75265753428.

82435756257 is a `hidden beast` number, since 8 + 2 + 4 + 3 + 5 + 7 + 5 + 625 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15644005776 + 66791750481 = 125076^2 + 258441^2 .

It is not a de Polignac number, because 82435756257 - 2² = 82435756253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82435756253) 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 11 ways as a sum of consecutive naturals, for example, 19653544 + ... + 19657737.

It is an arithmetic number, because the mean of its divisors is an integer number (9965409987).

Almost surely, 2^82435756257 is an apocalyptic number.

It is an amenable number.

82435756257 is a deficient number, since it is larger than the sum of its proper divisors (37149163587).

82435756257 is a wasteful number, since it uses less digits than its factorization.

82435756257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39311520 (or 39311517 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The spelling of 82435756257 in words is "eighty-two billion, four hundred thirty-five million, seven hundred fifty-six thousand, two hundred fifty-seven".