513356265353 has 2 divisors, whose sum is σ = 513356265354. Its totient is φ = 513356265352.

The previous prime is 513356265347. The next prime is 513356265403. The reversal of 513356265353 is 353562653315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 385326838009 + 128029427344 = 620747^2 + 357812^2 .

It is a cyclic number.

It is not a de Polignac number, because 513356265353 - 2³⁸ = 238478358409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513356265298 and 513356265307.

It is not a weakly prime, because it can be changed into another prime (513356265553) 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, 256678132676 + 256678132677.

It is an arithmetic number, because the mean of its divisors is an integer number (256678132677).

Almost surely, 2^513356265353 is an apocalyptic number.

It is an amenable number.

513356265353 is a deficient number, since it is larger than the sum of its proper divisors (1).

513356265353 is an equidigital number, since it uses as much as digits as its factorization.

513356265353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3645000, while the sum is 47.

It can be divided in two parts, 5133562 and 65353, that added together give a palindrome (5198915).

The spelling of 513356265353 in words is "five hundred thirteen billion, three hundred fifty-six million, two hundred sixty-five thousand, three hundred fifty-three".