513225441 has 12 divisors (see below), whose sum is σ = 766888980. Its totient is φ = 330351840.

The previous prime is 513225439. The next prime is 513225451. The reversal of 513225441 is 144522315.

It can be written as a sum of positive squares in 2 ways, for example, as 311699025 + 201526416 = 17655^2 + 14196^2 .

It is not a de Polignac number, because 513225441 - 2¹ = 513225439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513225421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 982930 + ... + 983451.

It is an arithmetic number, because the mean of its divisors is an integer number (63907415).

Almost surely, 2^513225441 is an apocalyptic number.

It is an amenable number.

513225441 is a deficient number, since it is larger than the sum of its proper divisors (253663539).

513225441 is a wasteful number, since it uses less digits than its factorization.

513225441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966416 (or 1966413 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 513225441 is about 22654.4794908204. The cubic root of 513225441 is about 800.6377419922.

Adding to 513225441 its reverse (144522315), we get a palindrome (657747756).

The spelling of 513225441 in words is "five hundred thirteen million, two hundred twenty-five thousand, four hundred forty-one".