513249238657 has 2 divisors, whose sum is σ = 513249238658. Its totient is φ = 513249238656.

The previous prime is 513249238609. The next prime is 513249238703. The reversal of 513249238657 is 756832942315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 499677920641 + 13571318016 = 706879^2 + 116496^2 .

It is a cyclic number.

It is not a de Polignac number, because 513249238657 - 2³¹ = 511101755009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513249238598 and 513249238607.

It is not a weakly prime, because it can be changed into another prime (513249236657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256624619328 + 256624619329.

It is an arithmetic number, because the mean of its divisors is an integer number (256624619329).

Almost surely, 2^513249238657 is an apocalyptic number.

It is an amenable number.

513249238657 is a deficient number, since it is larger than the sum of its proper divisors (1).

513249238657 is an equidigital number, since it uses as much as digits as its factorization.

513249238657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10886400, while the sum is 55.

The spelling of 513249238657 in words is "five hundred thirteen billion, two hundred forty-nine million, two hundred thirty-eight thousand, six hundred fifty-seven".