513522133 has 2 divisors, whose sum is σ = 513522134. Its totient is φ = 513522132.

The previous prime is 513522131. The next prime is 513522137. The reversal of 513522133 is 331225315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 302168689 + 211353444 = 17383^2 + 14538^2 .

It is a cyclic number.

It is not a de Polignac number, because 513522133 - 2¹ = 513522131 is a prime.

Together with 513522131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 513522098 and 513522107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513522131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256761066 + 256761067.

It is an arithmetic number, because the mean of its divisors is an integer number (256761067).

Almost surely, 2^513522133 is an apocalyptic number.

It is an amenable number.

513522133 is a deficient number, since it is larger than the sum of its proper divisors (1).

513522133 is an equidigital number, since it uses as much as digits as its factorization.

513522133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2700, while the sum is 25.

The square root of 513522133 is about 22661.0267419638. The cubic root of 513522133 is about 800.7919932787.

Adding to 513522133 its reverse (331225315), we get a palindrome (844747448).

The spelling of 513522133 in words is "five hundred thirteen million, five hundred twenty-two thousand, one hundred thirty-three".