509461625 has 8 divisors (see below), whose sum is σ = 635808264. Its totient is φ = 407569200.

The previous prime is 509461609. The next prime is 509461669. The reversal of 509461625 is 526164905.

It can be written as a sum of positive squares in 4 ways, for example, as 161900176 + 347561449 = 12724^2 + 18643^2 .

It is not a de Polignac number, because 509461625 - 2⁴ = 509461609 is a prime.

It is a super-2 number, since 2×509461625² = 519102294695281250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 2037722 + ... + 2037971.

It is an arithmetic number, because the mean of its divisors is an integer number (79476033).

Almost surely, 2^509461625 is an apocalyptic number.

It is an amenable number.

509461625 is a deficient number, since it is larger than the sum of its proper divisors (126346639).

509461625 is an equidigital number, since it uses as much as digits as its factorization.

509461625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075708 (or 4075698 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 509461625 is about 22571.2566110086. The cubic root of 509461625 is about 798.6757388124.

The spelling of 509461625 in words is "five hundred nine million, four hundred sixty-one thousand, six hundred twenty-five".