513223133 has 2 divisors, whose sum is σ = 513223134. Its totient is φ = 513223132.

The previous prime is 513223097. The next prime is 513223153. The reversal of 513223133 is 331322315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 502970329 + 10252804 = 22427^2 + 3202^2 .

It is a cyclic number.

It is not a de Polignac number, because 513223133 - 2²⁶ = 446114269 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513223099 and 513223108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513223153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256611566 + 256611567.

It is an arithmetic number, because the mean of its divisors is an integer number (256611567).

Almost surely, 2^513223133 is an apocalyptic number.

It is an amenable number.

513223133 is a deficient number, since it is larger than the sum of its proper divisors (1).

513223133 is an equidigital number, since it uses as much as digits as its factorization.

513223133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1620, while the sum is 23.

The square root of 513223133 is about 22654.4285516099. The cubic root of 513223133 is about 800.6365418213.

Adding to 513223133 its reverse (331322315), we get a palindrome (844545448).

The spelling of 513223133 in words is "five hundred thirteen million, two hundred twenty-three thousand, one hundred thirty-three".