513334135337 has 2 divisors, whose sum is σ = 513334135338. Its totient is φ = 513334135336.

The previous prime is 513334135309. The next prime is 513334135381. The reversal of 513334135337 is 733531433315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 325606043161 + 187728092176 = 570619^2 + 433276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513334135337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513334135294 and 513334135303.

It is not a weakly prime, because it can be changed into another prime (513334105337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256667067668 + 256667067669.

It is an arithmetic number, because the mean of its divisors is an integer number (256667067669).

Almost surely, 2^513334135337 is an apocalyptic number.

It is an amenable number.

513334135337 is a deficient number, since it is larger than the sum of its proper divisors (1).

513334135337 is an equidigital number, since it uses as much as digits as its factorization.

513334135337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 510300, while the sum is 41.

The spelling of 513334135337 in words is "five hundred thirteen billion, three hundred thirty-four million, one hundred thirty-five thousand, three hundred thirty-seven".