506116601 has 2 divisors, whose sum is σ = 506116602. Its totient is φ = 506116600.

The previous prime is 506116591. The next prime is 506116603. The reversal of 506116601 is 106611605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 499746025 + 6370576 = 22355^2 + 2524^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-506116601 is a prime.

It is a Sophie Germain prime.

Together with 506116603, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (506116603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253058300 + 253058301.

It is an arithmetic number, because the mean of its divisors is an integer number (253058301).

Almost surely, 2^506116601 is an apocalyptic number.

It is an amenable number.

506116601 is a deficient number, since it is larger than the sum of its proper divisors (1).

506116601 is an equidigital number, since it uses as much as digits as its factorization.

506116601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 506116601 is about 22497.0353824676. The cubic root of 506116601 is about 796.9239169889.

The spelling of 506116601 in words is "five hundred six million, one hundred sixteen thousand, six hundred one".