513220101353 has 2 divisors, whose sum is σ = 513220101354. Its totient is φ = 513220101352.

The previous prime is 513220101343. The next prime is 513220101391. The reversal of 513220101353 is 353101022315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 500985086809 + 12235014544 = 707803^2 + 110612^2 .

It is a cyclic number.

It is not a de Polignac number, because 513220101353 - 2³⁴ = 496040232169 is a prime.

It is not a weakly prime, because it can be changed into another prime (513220101323) 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, 256610050676 + 256610050677.

It is an arithmetic number, because the mean of its divisors is an integer number (256610050677).

Almost surely, 2^513220101353 is an apocalyptic number.

It is an amenable number.

513220101353 is a deficient number, since it is larger than the sum of its proper divisors (1).

513220101353 is an equidigital number, since it uses as much as digits as its factorization.

513220101353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 513220101353 its reverse (353101022315), we get a palindrome (866321123668).

The spelling of 513220101353 in words is "five hundred thirteen billion, two hundred twenty million, one hundred one thousand, three hundred fifty-three".