513152117 has 2 divisors, whose sum is σ = 513152118. Its totient is φ = 513152116.

The previous prime is 513152099. The next prime is 513152137. The reversal of 513152117 is 711251315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 473889361 + 39262756 = 21769^2 + 6266^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513152117 is a prime.

It is a Chen prime.

It is equal to p_27011249 and since 513152117 and 27011249 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513152137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256576058 + 256576059.

It is an arithmetic number, because the mean of its divisors is an integer number (256576059).

Almost surely, 2^513152117 is an apocalyptic number.

It is an amenable number.

513152117 is a deficient number, since it is larger than the sum of its proper divisors (1).

513152117 is an equidigital number, since it uses as much as digits as its factorization.

513152117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1050, while the sum is 26.

The square root of 513152117 is about 22652.8611217215. The cubic root of 513152117 is about 800.5996114079.

The spelling of 513152117 in words is "five hundred thirteen million, one hundred fifty-two thousand, one hundred seventeen".