509601361 has 2 divisors, whose sum is σ = 509601362. Its totient is φ = 509601360.

The previous prime is 509601359. The next prime is 509601377. The reversal of 509601361 is 163106905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 503149761 + 6451600 = 22431^2 + 2540^2 .

It is a cyclic number.

It is not a de Polignac number, because 509601361 - 2¹ = 509601359 is a prime.

It is a super-3 number, since 3×509601361³ (a number of 27 digits) contains 333 as substring.

Together with 509601359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (509601331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254800680 + 254800681.

It is an arithmetic number, because the mean of its divisors is an integer number (254800681).

Almost surely, 2^509601361 is an apocalyptic number.

It is an amenable number.

509601361 is a deficient number, since it is larger than the sum of its proper divisors (1).

509601361 is an equidigital number, since it uses as much as digits as its factorization.

509601361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 509601361 is about 22574.3518400861. The cubic root of 509601361 is about 798.7487528502.

The spelling of 509601361 in words is "five hundred nine million, six hundred one thousand, three hundred sixty-one".