513122441 has 8 divisors (see below), whose sum is σ = 585099144. Its totient is φ = 445789440.

The previous prime is 513122437. The next prime is 513122461. The reversal of 513122441 is 144221315.

It can be written as a sum of positive squares in 4 ways, for example, as 15832441 + 497290000 = 3979^2 + 22300^2 .

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 513122441 - 2² = 513122437 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513122431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1160690 + ... + 1161131.

It is an arithmetic number, because the mean of its divisors is an integer number (73137393).

Almost surely, 2^513122441 is an apocalyptic number.

It is an amenable number.

513122441 is a deficient number, since it is larger than the sum of its proper divisors (71976703).

513122441 is a wasteful number, since it uses less digits than its factorization.

513122441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321851.

The product of its digits is 960, while the sum is 23.

The square root of 513122441 is about 22652.2060956543. The cubic root of 513122441 is about 800.5841780037.

Adding to 513122441 its reverse (144221315), we get a palindrome (657343756).

It can be divided in two parts, 5131 and 22441, that added together give a palindrome (27572).

The spelling of 513122441 in words is "five hundred thirteen million, one hundred twenty-two thousand, four hundred forty-one".