513633327404641 has 2 divisors, whose sum is σ = 513633327404642. Its totient is φ = 513633327404640.

The previous prime is 513633327404629. The next prime is 513633327404759. The reversal of 513633327404641 is 146404723336315.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 406338513465600 + 107294813939041 = 20157840^2 + 10358321^2 .

It is a cyclic number.

It is not a de Polignac number, because 513633327404641 - 2²³ = 513633319016033 is a prime.

It is not a weakly prime, because it can be changed into another prime (513633327704641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256816663702320 + 256816663702321.

It is an arithmetic number, because the mean of its divisors is an integer number (256816663702321).

Almost surely, 2^{513633327404641} is an apocalyptic number.

It is an amenable number.

513633327404641 is a deficient number, since it is larger than the sum of its proper divisors (1).

513633327404641 is an equidigital number, since it uses as much as digits as its factorization.

513633327404641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13063680, while the sum is 52.

The spelling of 513633327404641 in words is "five hundred thirteen trillion, six hundred thirty-three billion, three hundred twenty-seven million, four hundred four thousand, six hundred forty-one".