825075007301 has 2 divisors, whose sum is σ = 825075007302. Its totient is φ = 825075007300.

The previous prime is 825075007261. The next prime is 825075007313. The reversal of 825075007301 is 103700570528.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 658938062500 + 166136944801 = 811750^2 + 407599^2 .

It is a cyclic number.

It is not a de Polignac number, because 825075007301 - 2¹⁰ = 825075006277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825075009301) 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 as a sum of consecutive naturals, namely, 412537503650 + 412537503651.

It is an arithmetic number, because the mean of its divisors is an integer number (412537503651).

Almost surely, 2^825075007301 is an apocalyptic number.

It is an amenable number.

825075007301 is a deficient number, since it is larger than the sum of its proper divisors (1).

825075007301 is an equidigital number, since it uses as much as digits as its factorization.

825075007301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58800, while the sum is 38.

Adding to 825075007301 its reverse (103700570528), we get a palindrome (928775577829).

The spelling of 825075007301 in words is "eight hundred twenty-five billion, seventy-five million, seven thousand, three hundred one".