509552657 has 2 divisors, whose sum is σ = 509552658. Its totient is φ = 509552656.

The previous prime is 509552627. The next prime is 509552669. The reversal of 509552657 is 756255905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 489338641 + 20214016 = 22121^2 + 4496^2 .

It is a cyclic number.

It is not a de Polignac number, because 509552657 - 2⁸ = 509552401 is a prime.

It is not a weakly prime, because it can be changed into another prime (509552627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254776328 + 254776329.

It is an arithmetic number, because the mean of its divisors is an integer number (254776329).

Almost surely, 2^509552657 is an apocalyptic number.

It is an amenable number.

509552657 is a deficient number, since it is larger than the sum of its proper divisors (1).

509552657 is an equidigital number, since it uses as much as digits as its factorization.

509552657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 472500, while the sum is 44.

The square root of 509552657 is about 22573.2730679448. The cubic root of 509552657 is about 798.7233058363.

The spelling of 509552657 in words is "five hundred nine million, five hundred fifty-two thousand, six hundred fifty-seven".