82435756249 has 16 divisors (see below), whose sum is σ = 102786800256. Its totient is φ = 64229558400.

The previous prime is 82435756243. The next prime is 82435756253. The reversal of 82435756249 is 94265753428.

It is a happy number.

It is not a de Polignac number, because 82435756249 - 2⁵ = 82435756217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82435756249.

It is not an unprimeable number, because it can be changed into a prime (82435756243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 874629 + ... + 964285.

It is an arithmetic number, because the mean of its divisors is an integer number (6424175016).

Almost surely, 2^82435756249 is an apocalyptic number.

It is an amenable number.

82435756249 is a deficient number, since it is larger than the sum of its proper divisors (20351044007).

82435756249 is a wasteful number, since it uses less digits than its factorization.

82435756249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101616.

The product of its digits is 14515200, while the sum is 55.

The spelling of 82435756249 in words is "eighty-two billion, four hundred thirty-five million, seven hundred fifty-six thousand, two hundred forty-nine".