511205117 has 2 divisors, whose sum is σ = 511205118. Its totient is φ = 511205116.

The previous prime is 511205077. The next prime is 511205119. The reversal of 511205117 is 711502115.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 470933401 + 40271716 = 21701^2 + 6346^2 .

It is a cyclic number.

It is not a de Polignac number, because 511205117 - 2²⁰ = 510156541 is a prime.

It is a super-2 number, since 2×511205117² = 522661343293967378, which contains 22 as substring.

Together with 511205119, 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 = 511205092 and 511205101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (511205119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 255602558 + 255602559.

It is an arithmetic number, because the mean of its divisors is an integer number (255602559).

Almost surely, 2^511205117 is an apocalyptic number.

It is an amenable number.

511205117 is a deficient number, since it is larger than the sum of its proper divisors (1).

511205117 is an equidigital number, since it uses as much as digits as its factorization.

511205117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 350, while the sum is 23.

The square root of 511205117 is about 22609.8455766509. The cubic root of 511205117 is about 799.5857840059.

The spelling of 511205117 in words is "five hundred eleven million, two hundred five thousand, one hundred seventeen".