513225205 has 8 divisors (see below), whose sum is σ = 617455800. Its totient is φ = 409523136.

The previous prime is 513225203. The next prime is 513225211. The reversal of 513225205 is 502522315.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 248004 + 512977201 = 498^2 + 22649^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513225205 - 2¹ = 513225203 is a prime.

It is a super-2 number, since 2×513225205² = 526800222094584050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513225205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513225203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129990 + ... + 133879.

It is an arithmetic number, because the mean of its divisors is an integer number (77181975).

Almost surely, 2^513225205 is an apocalyptic number.

It is an amenable number.

513225205 is a deficient number, since it is larger than the sum of its proper divisors (104230595).

513225205 is a wasteful number, since it uses less digits than its factorization.

513225205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264263.

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 513225205 is about 22654.4742821369. The cubic root of 513225205 is about 800.6376192712.

The spelling of 513225205 in words is "five hundred thirteen million, two hundred twenty-five thousand, two hundred five".