513825325 has 24 divisors (see below), whose sum is σ = 702908136. Its totient is φ = 370176000.

The previous prime is 513825317. The next prime is 513825329. The reversal of 513825325 is 523528315.

It can be written as a sum of positive squares in 12 ways, for example, as 429442729 + 84382596 = 20723^2 + 9186^2 .

It is not a de Polignac number, because 513825325 - 2³ = 513825317 is a prime.

It is a super-2 number, since 2×513825325² = 528032929222711250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513825329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5956 + ... + 32605.

It is an arithmetic number, because the mean of its divisors is an integer number (29287839).

Almost surely, 2^513825325 is an apocalyptic number.

It is an amenable number.

513825325 is a deficient number, since it is larger than the sum of its proper divisors (189082811).

513825325 is a wasteful number, since it uses less digits than its factorization.

513825325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38625 (or 38620 counting only the distinct ones).

The product of its digits is 36000, while the sum is 34.

The square root of 513825325 is about 22667.7154781862. The cubic root of 513825325 is about 800.9495625719.

The spelling of 513825325 in words is "five hundred thirteen million, eight hundred twenty-five thousand, three hundred twenty-five".