513204162304 has 72 divisors (see below), whose sum is σ = 1075123903392. Its totient is φ = 244026224640.

The previous prime is 513204162299. The next prime is 513204162307. The reversal of 513204162304 is 403261402315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513204162307) 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, 766714 + ... + 1270534.

It is an arithmetic number, because the mean of its divisors is an integer number (14932276436).

Almost surely, 2^513204162304 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 513204162304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537561951696).

513204162304 is an abundant number, since it is smaller than the sum of its proper divisors (561919741088).

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

513204162304 is a wasteful number, since it uses less digits than its factorization.

513204162304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504033 (or 504019 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 513204162304 its reverse (403261402315), we get a palindrome (916465564619).

The spelling of 513204162304 in words is "five hundred thirteen billion, two hundred four million, one hundred sixty-two thousand, three hundred four".