513014141200321 has 2 divisors, whose sum is σ = 513014141200322. Its totient is φ = 513014141200320.

The previous prime is 513014141200303. The next prime is 513014141200369. The reversal of 513014141200321 is 123002141410315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 375838863726096 + 137175277474225 = 19386564^2 + 11712185^2 .

It is a cyclic number.

It is not a de Polignac number, because 513014141200321 - 2³³ = 513005551265729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513014141200321.

It is not a weakly prime, because it can be changed into another prime (513014141200021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256507070600160 + 256507070600161.

It is an arithmetic number, because the mean of its divisors is an integer number (256507070600161).

Almost surely, 2^{513014141200321} is an apocalyptic number.

It is an amenable number.

513014141200321 is a deficient number, since it is larger than the sum of its proper divisors (1).

513014141200321 is an equidigital number, since it uses as much as digits as its factorization.

513014141200321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 513014141200321 its reverse (123002141410315), we get a palindrome (636016282610636).

The spelling of 513014141200321 in words is "five hundred thirteen trillion, fourteen billion, one hundred forty-one million, two hundred thousand, three hundred twenty-one".