513220225 has 48 divisors (see below), whose sum is σ = 775450368. Its totient is φ = 328919040.

The previous prime is 513220223. The next prime is 513220237. The reversal of 513220225 is 522022315.

It is not a de Polignac number, because 513220225 - 2¹ = 513220223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513220196 and 513220205.

It is not an unprimeable number, because it can be changed into a prime (513220223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496309 + ... + 497341.

It is an arithmetic number, because the mean of its divisors is an integer number (16155216).

Almost surely, 2^513220225 is an apocalyptic number.

It is an amenable number.

513220225 is a deficient number, since it is larger than the sum of its proper divisors (262230143).

513220225 is a wasteful number, since it uses less digits than its factorization.

513220225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 513220225 is about 22654.3643698074. The cubic root of 513220225 is about 800.6350296425.

The spelling of 513220225 in words is "five hundred thirteen million, two hundred twenty thousand, two hundred twenty-five".