82737825506 has 32 divisors (see below), whose sum is σ = 145980859392. Its totient is φ = 34437831120.

The previous prime is 82737825407. The next prime is 82737825509. The reversal of 82737825506 is 60552873728.

It is a happy number.

It is a super-2 number, since 2×82737825506² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (82737825509) 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 15 ways as a sum of consecutive naturals, for example, 554576 + ... + 687771.

It is an arithmetic number, because the mean of its divisors is an integer number (4561901856).

Almost surely, 2^82737825506 is an apocalyptic number.

82737825506 is a deficient number, since it is larger than the sum of its proper divisors (63243033886).

82737825506 is a wasteful number, since it uses less digits than its factorization.

82737825506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242494.

The product of its (nonzero) digits is 5644800, while the sum is 53.

The spelling of 82737825506 in words is "eighty-two billion, seven hundred thirty-seven million, eight hundred twenty-five thousand, five hundred six".