513123913 has 2 divisors, whose sum is σ = 513123914. Its totient is φ = 513123912.

The previous prime is 513123907. The next prime is 513123967. The reversal of 513123913 is 319321315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 294911929 + 218211984 = 17173^2 + 14772^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513123913 is a prime.

It is not a weakly prime, because it can be changed into another prime (513123613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256561956 + 256561957.

It is an arithmetic number, because the mean of its divisors is an integer number (256561957).

Almost surely, 2^513123913 is an apocalyptic number.

It is an amenable number.

513123913 is a deficient number, since it is larger than the sum of its proper divisors (1).

513123913 is an equidigital number, since it uses as much as digits as its factorization.

513123913 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2430, while the sum is 28.

The square root of 513123913 is about 22652.2385869476. The cubic root of 513123913 is about 800.5849435512.

It can be divided in two parts, 51312 and 3913, that added together give a square (55225 = 235²).

The spelling of 513123913 in words is "five hundred thirteen million, one hundred twenty-three thousand, nine hundred thirteen".