513840133 has 2 divisors, whose sum is σ = 513840134. Its totient is φ = 513840132.

The previous prime is 513840121. The next prime is 513840139. The reversal of 513840133 is 331048315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 504586369 + 9253764 = 22463^2 + 3042^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513840133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513840139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256920066 + 256920067.

It is an arithmetic number, because the mean of its divisors is an integer number (256920067).

Almost surely, 2^513840133 is an apocalyptic number.

It is an amenable number.

513840133 is a deficient number, since it is larger than the sum of its proper divisors (1).

513840133 is an equidigital number, since it uses as much as digits as its factorization.

513840133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 513840133 is about 22668.0421077781. The cubic root of 513840133 is about 800.9572567218.

Adding to 513840133 its reverse (331048315), we get a palindrome (844888448).

The spelling of 513840133 in words is "five hundred thirteen million, eight hundred forty thousand, one hundred thirty-three".