513512220807727 has 2 divisors, whose sum is σ = 513512220807728. Its totient is φ = 513512220807726.

The previous prime is 513512220807667. The next prime is 513512220807757. The reversal of 513512220807727 is 727708022215315.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513512220807727 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513512220807757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256756110403863 + 256756110403864.

It is an arithmetic number, because the mean of its divisors is an integer number (256756110403864).

Almost surely, 2^{513512220807727} is an apocalyptic number.

513512220807727 is a deficient number, since it is larger than the sum of its proper divisors (1).

513512220807727 is an equidigital number, since it uses as much as digits as its factorization.

513512220807727 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3292800, while the sum is 52.

The spelling of 513512220807727 in words is "five hundred thirteen trillion, five hundred twelve billion, two hundred twenty million, eight hundred seven thousand, seven hundred twenty-seven".