513123227 has 2 divisors, whose sum is σ = 513123228. Its totient is φ = 513123226.

The previous prime is 513123203. The next prime is 513123229. The reversal of 513123227 is 722321315.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513123227 - 2⁸ = 513122971 is a prime.

Together with 513123229, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 513123196 and 513123205.

It is not a weakly prime, because it can be changed into another prime (513123229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256561613 + 256561614.

It is an arithmetic number, because the mean of its divisors is an integer number (256561614).

Almost surely, 2^513123227 is an apocalyptic number.

513123227 is a deficient number, since it is larger than the sum of its proper divisors (1).

513123227 is an equidigital number, since it uses as much as digits as its factorization.

513123227 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2520, while the sum is 26.

The square root of 513123227 is about 22652.2234449513. The cubic root of 513123227 is about 800.5845867813.

The spelling of 513123227 in words is "five hundred thirteen million, one hundred twenty-three thousand, two hundred twenty-seven".