825515518901 has 2 divisors, whose sum is σ = 825515518902. Its totient is φ = 825515518900.

The previous prime is 825515518859. The next prime is 825515518907. The reversal of 825515518901 is 109815515528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 753686158801 + 71829360100 = 868151^2 + 268010^2 .

It is a cyclic number.

It is not a de Polignac number, because 825515518901 - 2¹⁰ = 825515517877 is a prime.

It is a super-3 number, since 3×825515518901³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 825515518901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825515518907) 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, 412757759450 + 412757759451.

It is an arithmetic number, because the mean of its divisors is an integer number (412757759451).

Almost surely, 2^825515518901 is an apocalyptic number.

It is an amenable number.

825515518901 is a deficient number, since it is larger than the sum of its proper divisors (1).

825515518901 is an equidigital number, since it uses as much as digits as its factorization.

825515518901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720000, while the sum is 50.

The spelling of 825515518901 in words is "eight hundred twenty-five billion, five hundred fifteen million, five hundred eighteen thousand, nine hundred one".