513702225 has 27 divisors (see below), whose sum is σ = 920707099. Its totient is φ = 273793200.

The previous prime is 513702223. The next prime is 513702269. The reversal of 513702225 is 522207315.

The square root of 513702225 is 22665.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 184932801 + 328769424 = 13599^2 + 18132^2 .

It is not a de Polignac number, because 513702225 - 2¹ = 513702223 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (513702223) 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 in 26 ways as a sum of consecutive naturals, for example, 339220 + ... + 340730.

Almost surely, 2^513702225 is an apocalyptic number.

513702225 is the 22665-th square number.

513702225 is the 11333-rd centered octagonal number.

It is an amenable number.

513702225 is a deficient number, since it is larger than the sum of its proper divisors (407004874).

513702225 is an equidigital number, since it uses as much as digits as its factorization.

513702225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The cubic root of 513702225 is about 800.8855948114.

The spelling of 513702225 in words is "five hundred thirteen million, seven hundred two thousand, two hundred twenty-five".