513536313460 has 48 divisors (see below), whose sum is σ = 1130895838800. Its totient is φ = 195614383104.

The previous prime is 513536313403. The next prime is 513536313487. The reversal of 513536313460 is 64313635315.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 29437637476 + 484098675984 = 171574^2 + 695772^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6022095 + ... + 6106774.

It is an arithmetic number, because the mean of its divisors is an integer number (23560329975).

Almost surely, 2^513536313460 is an apocalyptic number.

It is an amenable number.

513536313460 is an abundant number, since it is smaller than the sum of its proper divisors (617359525340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513536313460 is a wasteful number, since it uses less digits than its factorization.

513536313460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12128980 (or 12128978 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 40.

Adding to 513536313460 its reverse (64313635315), we get a palindrome (577849948775).

The spelling of 513536313460 in words is "five hundred thirteen billion, five hundred thirty-six million, three hundred thirteen thousand, four hundred sixty".