513325540 has 192 divisors, whose sum is σ = 1438746624. Its totient is φ = 149225472.

The previous prime is 513325513. The next prime is 513325541. The reversal of 513325540 is 45523315.

It is a super-2 number, since 2×513325540² = 527006220032583200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 513325499 and 513325508.

It is not an unprimeable number, because it can be changed into a prime (513325541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1454004 + ... + 1454356.

It is an arithmetic number, because the mean of its divisors is an integer number (7493472).

Almost surely, 2^513325540 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 513325540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719373312).

513325540 is an abundant number, since it is smaller than the sum of its proper divisors (925421084).

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

513325540 is a wasteful number, since it uses less digits than its factorization.

513325540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 513325540 is about 22656.6886371332. The cubic root of 513325540 is about 800.6897904821.

Adding to 513325540 its reverse (45523315), we get a palindrome (558848855).

The spelling of 513325540 in words is "five hundred thirteen million, three hundred twenty-five thousand, five hundred forty".