513502351441 has 8 divisors (see below), whose sum is σ = 543779407080. Its totient is φ = 483233188608.

The previous prime is 513502351429. The next prime is 513502351499. The reversal of 513502351441 is 144153205315.

It can be written as a sum of positive squares in 4 ways, for example, as 101429510400 + 412072841041 = 318480^2 + 641929^2 .

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 513502351441 - 2⁵ = 513502351409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513502351397 and 513502351406.

It is not an unprimeable number, because it can be changed into a prime (513502351421) 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, 1838986 + ... + 2099731.

It is an arithmetic number, because the mean of its divisors is an integer number (67972425885).

Almost surely, 2^513502351441 is an apocalyptic number.

It is an amenable number.

513502351441 is a deficient number, since it is larger than the sum of its proper divisors (30277055639).

513502351441 is a wasteful number, since it uses less digits than its factorization.

513502351441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946403.

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 513502351441 its reverse (144153205315), we get a palindrome (657655556756).

The spelling of 513502351441 in words is "five hundred thirteen billion, five hundred two million, three hundred fifty-one thousand, four hundred forty-one".