509393377 has 2 divisors, whose sum is σ = 509393378. Its totient is φ = 509393376.

The previous prime is 509393347. The next prime is 509393411. The reversal of 509393377 is 773393905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 274200481 + 235192896 = 16559^2 + 15336^2 .

It is a cyclic number.

It is not a de Polignac number, because 509393377 - 2²⁷ = 375175649 is a prime.

It is a super-2 number, since 2×509393377² = 518963225062928258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (509393347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254696688 + 254696689.

It is an arithmetic number, because the mean of its divisors is an integer number (254696689).

Almost surely, 2^509393377 is an apocalyptic number.

It is an amenable number.

509393377 is a deficient number, since it is larger than the sum of its proper divisors (1).

509393377 is an equidigital number, since it uses as much as digits as its factorization.

509393377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 535815, while the sum is 46.

The square root of 509393377 is about 22569.7447260708. The cubic root of 509393377 is about 798.6400734137.

The spelling of 509393377 in words is "five hundred nine million, three hundred ninety-three thousand, three hundred seventy-seven".