513820325 has 54 divisors (see below), whose sum is σ = 717943446. Its totient is φ = 364654080.

The previous prime is 513820301. The next prime is 513820361. The reversal of 513820325 is 523028315.

It can be written as a sum of positive squares in 9 ways, for example, as 3467044 + 510353281 = 1862^2 + 22591^2 .

It is not a de Polignac number, because 513820325 - 2¹⁰ = 513819301 is a prime.

It is a super-2 number, since 2×513820325² = 528022652766211250, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2608127 + ... + 2608323.

It is an arithmetic number, because the mean of its divisors is an integer number (13295249).

Almost surely, 2^513820325 is an apocalyptic number.

It is an amenable number.

513820325 is a deficient number, since it is larger than the sum of its proper divisors (204123121).

513820325 is a wasteful number, since it uses less digits than its factorization.

513820325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 513820325 is about 22667.6051889034. The cubic root of 513820325 is about 800.9469645679.

The spelling of 513820325 in words is "five hundred thirteen million, eight hundred twenty thousand, three hundred twenty-five".