825252521 has 2 divisors, whose sum is σ = 825252522. Its totient is φ = 825252520.

The previous prime is 825252499. The next prime is 825252523. The reversal of 825252521 is 125252528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 456420496 + 368832025 = 21364^2 + 19205^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-825252521 is a prime.

Together with 825252523, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (825252523) 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, 412626260 + 412626261.

It is an arithmetic number, because the mean of its divisors is an integer number (412626261).

Almost surely, 2^825252521 is an apocalyptic number.

It is an amenable number.

825252521 is a deficient number, since it is larger than the sum of its proper divisors (1).

825252521 is an equidigital number, since it uses as much as digits as its factorization.

825252521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16000, while the sum is 32.

The square root of 825252521 is about 28727.2087227423. The cubic root of 825252521 is about 937.9844094771.

The spelling of 825252521 in words is "eight hundred twenty-five million, two hundred fifty-two thousand, five hundred twenty-one".