513001441 has 8 divisors (see below), whose sum is σ = 521108000. Its totient is φ = 504924192.

The previous prime is 513001373. The next prime is 513001457. The reversal of 513001441 is 144100315.

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 513001441 - 2¹¹ = 512999393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513004441) 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 7 ways as a sum of consecutive naturals, for example, 29386 + ... + 43468.

It is an arithmetic number, because the mean of its divisors is an integer number (65138500).

Almost surely, 2^513001441 is an apocalyptic number.

It is an amenable number.

513001441 is a deficient number, since it is larger than the sum of its proper divisors (8106559).

513001441 is a wasteful number, since it uses less digits than its factorization.

513001441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14655.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 513001441 is about 22649.5351166420. The cubic root of 513001441 is about 800.5212441611.

Adding to 513001441 its reverse (144100315), we get a palindrome (657101756).

The spelling of 513001441 in words is "five hundred thirteen million, one thousand, four hundred forty-one".