725006355554137 has 8 divisors (see below), whose sum is σ = 732755664932616. Its totient is φ = 717296684587392.

The previous prime is 725006355554081. The next prime is 725006355554153. The reversal of 725006355554137 is 731455553600527.

725006355554137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18368330217241 + 706638025336896 = 4285829^2 + 26582664^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 725006355554137 - 2¹⁹ = 725006355029849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (725006355524137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9909566158 + ... + 9909639319.

It is an arithmetic number, because the mean of its divisors is an integer number (91594458116577).

Almost surely, 2^{725006355554137} is an apocalyptic number.

It is an amenable number.

725006355554137 is a deficient number, since it is larger than the sum of its proper divisors (7749309378479).

725006355554137 is a wasteful number, since it uses less digits than its factorization.

725006355554137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19819205867.

The product of its (nonzero) digits is 66150000, while the sum is 58.

The spelling of 725006355554137 in words is "seven hundred twenty-five trillion, six billion, three hundred fifty-five million, five hundred fifty-four thousand, one hundred thirty-seven".