825032521 has 2 divisors, whose sum is σ = 825032522. Its totient is φ = 825032520.

The previous prime is 825032489. The next prime is 825032569. The reversal of 825032521 is 125230528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 792985600 + 32046921 = 28160^2 + 5661^2 .

It is a cyclic number.

It is not a de Polignac number, because 825032521 - 2⁵ = 825032489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 825032521.

It is not a weakly prime, because it can be changed into another prime (825036521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412516260 + 412516261.

It is an arithmetic number, because the mean of its divisors is an integer number (412516261).

Almost surely, 2^825032521 is an apocalyptic number.

It is an amenable number.

825032521 is a deficient number, since it is larger than the sum of its proper divisors (1).

825032521 is an equidigital number, since it uses as much as digits as its factorization.

825032521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 825032521 is about 28723.3793450562. The cubic root of 825032521 is about 937.9010511899.

The spelling of 825032521 in words is "eight hundred twenty-five million, thirty-two thousand, five hundred twenty-one".