725827021 has 2 divisors, whose sum is σ = 725827022. Its totient is φ = 725827020.

The previous prime is 725827001. The next prime is 725827033. The reversal of 725827021 is 120728527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 391485796 + 334341225 = 19786^2 + 18285^2 .

It is a cyclic number.

It is not a de Polignac number, because 725827021 - 2⁵ = 725826989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (725827001) 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, 362913510 + 362913511.

It is an arithmetic number, because the mean of its divisors is an integer number (362913511).

Almost surely, 2^725827021 is an apocalyptic number.

It is an amenable number.

725827021 is a deficient number, since it is larger than the sum of its proper divisors (1).

725827021 is an equidigital number, since it uses as much as digits as its factorization.

725827021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 725827021 is about 26941.1770529797. The cubic root of 725827021 is about 898.6923482975.

The spelling of 725827021 in words is "seven hundred twenty-five million, eight hundred twenty-seven thousand, twenty-one".