509947777 has 2 divisors, whose sum is σ = 509947778. Its totient is φ = 509947776.

The previous prime is 509947729. The next prime is 509947807. The reversal of 509947777 is 777749905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 507871296 + 2076481 = 22536^2 + 1441^2 .

It is a cyclic number.

It is not a de Polignac number, because 509947777 - 2¹⁵ = 509915009 is a prime.

It is not a weakly prime, because it can be changed into another prime (509947717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254973888 + 254973889.

It is an arithmetic number, because the mean of its divisors is an integer number (254973889).

Almost surely, 2^509947777 is an apocalyptic number.

It is an amenable number.

509947777 is a deficient number, since it is larger than the sum of its proper divisors (1).

509947777 is an equidigital number, since it uses as much as digits as its factorization.

509947777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3889620, while the sum is 55.

The square root of 509947777 is about 22582.0233150176. The cubic root of 509947777 is about 798.9297025720.

The spelling of 509947777 in words is "five hundred nine million, nine hundred forty-seven thousand, seven hundred seventy-seven".