513162526544 has 80 divisors (see below), whose sum is σ = 1056959381520. Its totient is φ = 240926085120.

The previous prime is 513162526493. The next prime is 513162526553. The reversal of 513162526544 is 445625261315.

It can be written as a sum of positive squares in 8 ways, for example, as 184590529600 + 328571996944 = 429640^2 + 573212^2 .

It is a junction number, because it is equal to n+sod(n) for n = 513162526495 and 513162526504.

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, 5988062 + ... + 6073154.

It is an arithmetic number, because the mean of its divisors is an integer number (13211992269).

Almost surely, 2^513162526544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513162526544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528479690760).

513162526544 is an abundant number, since it is smaller than the sum of its proper divisors (543796854976).

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

513162526544 is a wasteful number, since it uses less digits than its factorization.

513162526544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85488 (or 85482 counting only the distinct ones).

The product of its digits is 864000, while the sum is 44.

Adding to 513162526544 its reverse (445625261315), we get a palindrome (958787787859).

The spelling of 513162526544 in words is "five hundred thirteen billion, one hundred sixty-two million, five hundred twenty-six thousand, five hundred forty-four".