331135012545653 has 2 divisors, whose sum is σ = 331135012545654. Its totient is φ = 331135012545652.

The previous prime is 331135012545607. The next prime is 331135012545691. The reversal of 331135012545653 is 356545210531133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237168685679524 + 93966326866129 = 15400282^2 + 9693623^2 .

It is a cyclic number.

It is not a de Polignac number, because 331135012545653 - 2³⁴ = 331117832676469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331135012545598 and 331135012545607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331135012544653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165567506272826 + 165567506272827.

It is an arithmetic number, because the mean of its divisors is an integer number (165567506272827).

Almost surely, 2^{331135012545653} is an apocalyptic number.

It is an amenable number.

331135012545653 is a deficient number, since it is larger than the sum of its proper divisors (1).

331135012545653 is an equidigital number, since it uses as much as digits as its factorization.

331135012545653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430000, while the sum is 47.

The spelling of 331135012545653 in words is "three hundred thirty-one trillion, one hundred thirty-five billion, twelve million, five hundred forty-five thousand, six hundred fifty-three".