513535524241 has 8 divisors (see below), whose sum is σ = 532636795944. Its totient is φ = 494709091200.

The previous prime is 513535524223. The next prime is 513535524251. The reversal of 513535524241 is 142425535315.

It can be written as a sum of positive squares in 4 ways, for example, as 362288425216 + 151247099025 = 601904^2 + 388905^2 .

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 513535524241 - 2¹⁵ = 513535491473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513535524194 and 513535524203.

It is not an unprimeable number, because it can be changed into a prime (513535524251) 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, 68705860 + ... + 68713333.

It is an arithmetic number, because the mean of its divisors is an integer number (66579599493).

Almost surely, 2^513535524241 is an apocalyptic number.

It is an amenable number.

513535524241 is a deficient number, since it is larger than the sum of its proper divisors (19101271703).

513535524241 is a wasteful number, since it uses less digits than its factorization.

513535524241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137419331.

The product of its digits is 360000, while the sum is 40.

The spelling of 513535524241 in words is "five hundred thirteen billion, five hundred thirty-five million, five hundred twenty-four thousand, two hundred forty-one".