513112123 has 2 divisors, whose sum is σ = 513112124. Its totient is φ = 513112122.

The previous prime is 513112097. The next prime is 513112151. The reversal of 513112123 is 321211315.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 513112123 - 2⁵ = 513112091 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513112123.

It is not a weakly prime, because it can be changed into another prime (513113123) 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, 256556061 + 256556062.

It is an arithmetic number, because the mean of its divisors is an integer number (256556062).

Almost surely, 2^513112123 is an apocalyptic number.

513112123 is a deficient number, since it is larger than the sum of its proper divisors (1).

513112123 is an equidigital number, since it uses as much as digits as its factorization.

513112123 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 19.

The square root of 513112123 is about 22651.9783462725. The cubic root of 513112123 is about 800.5788118492.

Adding to 513112123 its reverse (321211315), we get a palindrome (834323438).

The spelling of 513112123 in words is "five hundred thirteen million, one hundred twelve thousand, one hundred twenty-three".