725725310137 has 2 divisors, whose sum is σ = 725725310138. Its totient is φ = 725725310136.

The previous prime is 725725310113. The next prime is 725725310171. The reversal of 725725310137 is 731013527527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 482697015696 + 243028294441 = 694764^2 + 492979^2 .

It is a cyclic number.

It is not a de Polignac number, because 725725310137 - 2¹¹ = 725725308089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 725725310093 and 725725310102.

It is not a weakly prime, because it can be changed into another prime (725725310837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362862655068 + 362862655069.

It is an arithmetic number, because the mean of its divisors is an integer number (362862655069).

Almost surely, 2^725725310137 is an apocalyptic number.

It is an amenable number.

725725310137 is a deficient number, since it is larger than the sum of its proper divisors (1).

725725310137 is an equidigital number, since it uses as much as digits as its factorization.

725725310137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 308700, while the sum is 43.

The spelling of 725725310137 in words is "seven hundred twenty-five billion, seven hundred twenty-five million, three hundred ten thousand, one hundred thirty-seven".