513644577749 has 2 divisors, whose sum is σ = 513644577750. Its totient is φ = 513644577748.

The previous prime is 513644577707. The next prime is 513644577769. The reversal of 513644577749 is 947775446315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 481677640900 + 31966936849 = 694030^2 + 178793^2 .

It is a cyclic number.

It is not a de Polignac number, because 513644577749 - 2⁸ = 513644577493 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 513644577691 and 513644577700.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513644577769) 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, 256822288874 + 256822288875.

It is an arithmetic number, because the mean of its divisors is an integer number (256822288875).

Almost surely, 2^513644577749 is an apocalyptic number.

It is an amenable number.

513644577749 is a deficient number, since it is larger than the sum of its proper divisors (1).

513644577749 is an equidigital number, since it uses as much as digits as its factorization.

513644577749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 88905600, while the sum is 62.

The spelling of 513644577749 in words is "five hundred thirteen billion, six hundred forty-four million, five hundred seventy-seven thousand, seven hundred forty-nine".