825276521 has 2 divisors, whose sum is σ = 825276522. Its totient is φ = 825276520.

The previous prime is 825276497. The next prime is 825276541. The reversal of 825276521 is 125672528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 711555625 + 113720896 = 26675^2 + 10664^2 .

It is a cyclic number.

It is not a de Polignac number, because 825276521 - 2¹⁰ = 825275497 is a prime.

It is a super-2 number, since 2×825276521² = 1362162672227726882, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (825276541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412638260 + 412638261.

It is an arithmetic number, because the mean of its divisors is an integer number (412638261).

Almost surely, 2^825276521 is an apocalyptic number.

It is an amenable number.

825276521 is a deficient number, since it is larger than the sum of its proper divisors (1).

825276521 is an equidigital number, since it uses as much as digits as its factorization.

825276521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 67200, while the sum is 38.

The square root of 825276521 is about 28727.6264421549. The cubic root of 825276521 is about 937.9935022122.

The spelling of 825276521 in words is "eight hundred twenty-five million, two hundred seventy-six thousand, five hundred twenty-one".