725106110033 has 2 divisors, whose sum is σ = 725106110034. Its totient is φ = 725106110032.

The previous prime is 725106110011. The next prime is 725106110051. The reversal of 725106110033 is 330011601527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 522415265089 + 202690844944 = 722783^2 + 450212^2 .

It is a cyclic number.

It is not a de Polignac number, because 725106110033 - 2⁶ = 725106109969 is a prime.

It is a super-2 number, since 2×725106110033² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 725106109978 and 725106110005.

It is not a weakly prime, because it can be changed into another prime (725103110033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362553055016 + 362553055017.

It is an arithmetic number, because the mean of its divisors is an integer number (362553055017).

Almost surely, 2^725106110033 is an apocalyptic number.

It is an amenable number.

725106110033 is a deficient number, since it is larger than the sum of its proper divisors (1).

725106110033 is an equidigital number, since it uses as much as digits as its factorization.

725106110033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

The spelling of 725106110033 in words is "seven hundred twenty-five billion, one hundred six million, one hundred ten thousand, thirty-three".