513205241241 has 32 divisors (see below), whose sum is σ = 853333797888. Its totient is φ = 266533439040.

The previous prime is 513205241233. The next prime is 513205241261. The reversal of 513205241241 is 142142502315.

It is not a de Polignac number, because 513205241241 - 2³ = 513205241233 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 513205241199 and 513205241208.

It is not an unprimeable number, because it can be changed into a prime (513205241261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654391 + ... + 1206083.

It is an arithmetic number, because the mean of its divisors is an integer number (26666681184).

Almost surely, 2^513205241241 is an apocalyptic number.

It is an amenable number.

513205241241 is a deficient number, since it is larger than the sum of its proper divisors (340128556647).

513205241241 is a wasteful number, since it uses less digits than its factorization.

513205241241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555741.

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 513205241241 its reverse (142142502315), we get a palindrome (655347743556).

The spelling of 513205241241 in words is "five hundred thirteen billion, two hundred five million, two hundred forty-one thousand, two hundred forty-one".