513512318441 has 2 divisors, whose sum is σ = 513512318442. Its totient is φ = 513512318440.

The previous prime is 513512318357. The next prime is 513512318453. The reversal of 513512318441 is 144813215315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 462121242025 + 51391076416 = 679795^2 + 226696^2 .

It is a cyclic number.

It is not a de Polignac number, because 513512318441 - 2²² = 513508124137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513512318395 and 513512318404.

It is not a weakly prime, because it can be changed into another prime (513512318471) 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, 256756159220 + 256756159221.

It is an arithmetic number, because the mean of its divisors is an integer number (256756159221).

Almost surely, 2^513512318441 is an apocalyptic number.

It is an amenable number.

513512318441 is a deficient number, since it is larger than the sum of its proper divisors (1).

513512318441 is an equidigital number, since it uses as much as digits as its factorization.

513512318441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 57600, while the sum is 38.

The spelling of 513512318441 in words is "five hundred thirteen billion, five hundred twelve million, three hundred eighteen thousand, four hundred forty-one".