82501608537 has 80 divisors (see below), whose sum is σ = 137327256000. Its totient is φ = 49138379136.

The previous prime is 82501608521. The next prime is 82501608569. The reversal of 82501608537 is 73580610528.

82501608537 is a `hidden beast` number, since 8 + 2 + 5 + 0 + 1 + 608 + 5 + 37 = 666.

It is not a de Polignac number, because 82501608537 - 2⁴ = 82501608521 is a prime.

It is a super-2 number, since 2×82501608537² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82501608492 and 82501608501.

It is not an unprimeable number, because it can be changed into a prime (82501608517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1897639 + ... + 1940627.

It is an arithmetic number, because the mean of its divisors is an integer number (1716590700).

Almost surely, 2^82501608537 is an apocalyptic number.

82501608537 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

82501608537 is a deficient number, since it is larger than the sum of its proper divisors (54825647463).

82501608537 is a wasteful number, since it uses less digits than its factorization.

82501608537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43092 (or 43083 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 82501608537 in words is "eighty-two billion, five hundred one million, six hundred eight thousand, five hundred thirty-seven".