506085011 has 2 divisors, whose sum is σ = 506085012. Its totient is φ = 506085010.

The previous prime is 506084989. The next prime is 506085037. The reversal of 506085011 is 110580605.

It is an a-pointer prime, because the next prime (506085037) can be obtained adding 506085011 to its sum of digits (26).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 506085011 - 2¹⁰ = 506083987 is a prime.

It is a super-2 number, since 2×506085011² = 512244076717740242, which contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (506085071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253042505 + 253042506.

It is an arithmetic number, because the mean of its divisors is an integer number (253042506).

Almost surely, 2^506085011 is an apocalyptic number.

506085011 is a deficient number, since it is larger than the sum of its proper divisors (1).

506085011 is an equidigital number, since it uses as much as digits as its factorization.

506085011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 506085011 is about 22496.3332790035. Note that the first 3 decimals coincide. The cubic root of 506085011 is about 796.9073362575.

The spelling of 506085011 in words is "five hundred six million, eighty-five thousand, eleven".