82525005005837 has 2 divisors, whose sum is σ = 82525005005838. Its totient is φ = 82525005005836.

The previous prime is 82525005005803. The next prime is 82525005005929. The reversal of 82525005005837 is 73850050052528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43748554404361 + 38776450601476 = 6614269^2 + 6227074^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82525005005837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82525005055837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41262502502918 + 41262502502919.

It is an arithmetic number, because the mean of its divisors is an integer number (41262502502919).

Almost surely, 2^{82525005005837} is an apocalyptic number.

It is an amenable number.

82525005005837 is a deficient number, since it is larger than the sum of its proper divisors (1).

82525005005837 is an equidigital number, since it uses as much as digits as its factorization.

82525005005837 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360000, while the sum is 50.

The spelling of 82525005005837 in words is "eighty-two trillion, five hundred twenty-five billion, five million, five thousand, eight hundred thirty-seven".