725006355554213 has 2 divisors, whose sum is σ = 725006355554214. Its totient is φ = 725006355554212.

The previous prime is 725006355554207. The next prime is 725006355554399. The reversal of 725006355554213 is 312455553600527.

725006355554213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 720628146652324 + 4378208901889 = 26844518^2 + 2092417^2 .

It is a cyclic number.

It is not a de Polignac number, because 725006355554213 - 2¹⁸ = 725006355292069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (725006355553213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362503177777106 + 362503177777107.

It is an arithmetic number, because the mean of its divisors is an integer number (362503177777107).

Almost surely, 2^{725006355554213} is an apocalyptic number.

It is an amenable number.

725006355554213 is a deficient number, since it is larger than the sum of its proper divisors (1).

725006355554213 is an equidigital number, since it uses as much as digits as its factorization.

725006355554213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18900000, while the sum is 53.

The spelling of 725006355554213 in words is "seven hundred twenty-five trillion, six billion, three hundred fifty-five million, five hundred fifty-four thousand, two hundred thirteen".