506106701 has 2 divisors, whose sum is σ = 506106702. Its totient is φ = 506106700.

The previous prime is 506106659. The next prime is 506106703. The reversal of 506106701 is 107601605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 503778025 + 2328676 = 22445^2 + 1526^2 .

It is a cyclic number.

It is not a de Polignac number, because 506106701 - 2¹⁴ = 506090317 is a prime.

It is a super-2 number, since 2×506106701² = 512287985594206802, which contains 22 as substring.

Together with 506106703, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506106703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253053350 + 253053351.

It is an arithmetic number, because the mean of its divisors is an integer number (253053351).

Almost surely, 2^506106701 is an apocalyptic number.

It is an amenable number.

506106701 is a deficient number, since it is larger than the sum of its proper divisors (1).

506106701 is an equidigital number, since it uses as much as digits as its factorization.

506106701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 506106701 is about 22496.8153524004. The cubic root of 506106701 is about 796.9187208225.

The spelling of 506106701 in words is "five hundred six million, one hundred six thousand, seven hundred one".